$\"\"$ $\"\"$

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The equation is $\"\"$ .

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$\"\"$ (Apply Distributive property: a(b + c) = ab + ac)

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Add: 12 + 2 = 14) $\"\"$

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According to subtraction property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 4.5 from each side)

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$\"\"$ (Apply Additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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According to subtraction property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 4k on both sides)

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$\"\"$ (Apply Commutative property: a + b = b + a)

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$\"\"$ (Apply Additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$

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According to division property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Divide each side by 0.5)

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$\"\"$ (Cancel common factors)

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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Check:

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$\"\"$ (Replace n in the equation with $\"\"$ )

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$\"\"$ (Add: 19 + 3 = 22 and 19 + 1 = 20)

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Add: 88 + 2 = 90)

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The equation is true. $\"\"$

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The solution is $\"\"$ .

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