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Simplifying -12(1 + 5p) = 2(8p + 14) + 36 (1 * -12 + 5p * -12) = 2(8p + 14) + 36 (-12 + -60p) = 2(8p + 14) + 36 Reorder the terms: -12 + -60p = 2(14 + 8p) + 36 -12 + -60p = (14 * 2 + 8p * 2) + 36 -12 + -60p = (28 + 16p) + 36 Reorder the terms: -12 + -60p = 28 + 36 + 16p Combine like terms: 28 + 36 = 64 -12 + -60p = 64 + 16p Solving -12 + -60p = 64 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -12 + -60p + -16p = 64 + 16p + -16p Combine like terms: -60p + -16p = -76p -12 + -76p = 64 + 16p + -16p Combine like terms: 16p + -16p = 0 -12 + -76p = 64 + 0 -12 + -76p = 64 Add '12' to each side of the equation. -12 + 12 + -76p = 64 + 12 Combine like terms: -12 + 12 = 0 0 + -76p = 64 + 12 -76p = 64 + 12 Combine like terms: 64 + 12 = 76 -76p = 76 Divide each side by '-76'. p = -1 Simplifying p = -1
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