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Simplifying -2(4p + 1) + -2(4p + -7) = 28 Reorder the terms: -2(1 + 4p) + -2(4p + -7) = 28 (1 * -2 + 4p * -2) + -2(4p + -7) = 28 (-2 + -8p) + -2(4p + -7) = 28 Reorder the terms: -2 + -8p + -2(-7 + 4p) = 28 -2 + -8p + (-7 * -2 + 4p * -2) = 28 -2 + -8p + (14 + -8p) = 28 Reorder the terms: -2 + 14 + -8p + -8p = 28 Combine like terms: -2 + 14 = 12 12 + -8p + -8p = 28 Combine like terms: -8p + -8p = -16p 12 + -16p = 28 Solving 12 + -16p = 28 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -16p = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -16p = 28 + -12 -16p = 28 + -12 Combine like terms: 28 + -12 = 16 -16p = 16 Divide each side by '-16'. p = -1 Simplifying p = -1
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