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Simplifying -7p + 4(-9 + -10p) = -12(6p + 8) + -5p -7p + (-9 * 4 + -10p * 4) = -12(6p + 8) + -5p -7p + (-36 + -40p) = -12(6p + 8) + -5p Reorder the terms: -36 + -7p + -40p = -12(6p + 8) + -5p Combine like terms: -7p + -40p = -47p -36 + -47p = -12(6p + 8) + -5p Reorder the terms: -36 + -47p = -12(8 + 6p) + -5p -36 + -47p = (8 * -12 + 6p * -12) + -5p -36 + -47p = (-96 + -72p) + -5p Combine like terms: -72p + -5p = -77p -36 + -47p = -96 + -77p Solving -36 + -47p = -96 + -77p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '77p' to each side of the equation. -36 + -47p + 77p = -96 + -77p + 77p Combine like terms: -47p + 77p = 30p -36 + 30p = -96 + -77p + 77p Combine like terms: -77p + 77p = 0 -36 + 30p = -96 + 0 -36 + 30p = -96 Add '36' to each side of the equation. -36 + 36 + 30p = -96 + 36 Combine like terms: -36 + 36 = 0 0 + 30p = -96 + 36 30p = -96 + 36 Combine like terms: -96 + 36 = -60 30p = -60 Divide each side by '30'. p = -2 Simplifying p = -2
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