The equation is .
(Apply distributive property:
)
(Multiply:
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(Apply distributive property: a(b + c) = ab + ac)
(Multiply:
)
(Subtract:
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Apply subtraction property of equality: Subtract 6a from each side.
\Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Subtract:
)
Apply addition property of equality: Add 24 to each side.
\ (Apply additive inverse property:
)
(Add:
)
Apply division property of equality: Divide each side by 12.
\ (Cancel common terms)
Check:
\To check the solution, substitute in original equation
.
(Multiply:
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(Add:
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(Subtract:
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(Multiply:
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(Subtract:
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The equality is true.
The value of .