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Simplifying -3(p + -1) = 6(p + -8) + -12 Reorder the terms: -3(-1 + p) = 6(p + -8) + -12 (-1 * -3 + p * -3) = 6(p + -8) + -12 (3 + -3p) = 6(p + -8) + -12 Reorder the terms: 3 + -3p = 6(-8 + p) + -12 3 + -3p = (-8 * 6 + p * 6) + -12 3 + -3p = (-48 + 6p) + -12 Reorder the terms: 3 + -3p = -48 + -12 + 6p Combine like terms: -48 + -12 = -60 3 + -3p = -60 + 6p Solving 3 + -3p = -60 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 3 + -3p + -6p = -60 + 6p + -6p Combine like terms: -3p + -6p = -9p 3 + -9p = -60 + 6p + -6p Combine like terms: 6p + -6p = 0 3 + -9p = -60 + 0 3 + -9p = -60 Add '-3' to each side of the equation. 3 + -3 + -9p = -60 + -3 Combine like terms: 3 + -3 = 0 0 + -9p = -60 + -3 -9p = -60 + -3 Combine like terms: -60 + -3 = -63 -9p = -63 Divide each side by '-9'. p = 7 Simplifying p = 7
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