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Simplifying -21 = -7(1 + -8p) + 7(3p + -2) -21 = (1 * -7 + -8p * -7) + 7(3p + -2) -21 = (-7 + 56p) + 7(3p + -2) Reorder the terms: -21 = -7 + 56p + 7(-2 + 3p) -21 = -7 + 56p + (-2 * 7 + 3p * 7) -21 = -7 + 56p + (-14 + 21p) Reorder the terms: -21 = -7 + -14 + 56p + 21p Combine like terms: -7 + -14 = -21 -21 = -21 + 56p + 21p Combine like terms: 56p + 21p = 77p -21 = -21 + 77p Add '21' to each side of the equation. -21 + 21 = -21 + 21 + 77p Combine like terms: -21 + 21 = 0 0 = -21 + 21 + 77p Combine like terms: -21 + 21 = 0 0 = 0 + 77p 0 = 77p Solving 0 = 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. 0 + -77p = 77p + -77p Remove the zero: -77p = 77p + -77p Combine like terms: 77p + -77p = 0 -77p = 0 Divide each side by '-77'. p = 0 Simplifying p = 0
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