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The original weight plus the additional gain is 160. \ \

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The equation represents the situation is 155 + g = 160 \ \ \"\"

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According to Subtraction property of equality: if a = b, then a \"\" c = b \"\" c.

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155 + g\"\"155= 160\"\"155     (Subtract 155 from each side).

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g= 160\"\"155                          (Additive inverse property:155 \"\"155= 0)

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g = 5                                       (Subtract: 160\"\"155 = 5)

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Check:

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To check the solution, substitute g = 5 in original equation.     

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 155 + 5 = 160    

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 160 = 160                                 (Add:  155 + 5 = 160)

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Compare the values, the equation is true. The solution is g = 5.

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Darius needs to gain 5 pounds.

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