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Simplifying 9(p + -2) = 3(p + -12) Reorder the terms: 9(-2 + p) = 3(p + -12) (-2 * 9 + p * 9) = 3(p + -12) (-18 + 9p) = 3(p + -12) Reorder the terms: -18 + 9p = 3(-12 + p) -18 + 9p = (-12 * 3 + p * 3) -18 + 9p = (-36 + 3p) Solving -18 + 9p = -36 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -18 + 9p + -3p = -36 + 3p + -3p Combine like terms: 9p + -3p = 6p -18 + 6p = -36 + 3p + -3p Combine like terms: 3p + -3p = 0 -18 + 6p = -36 + 0 -18 + 6p = -36 Add '18' to each side of the equation. -18 + 18 + 6p = -36 + 18 Combine like terms: -18 + 18 = 0 0 + 6p = -36 + 18 6p = -36 + 18 Combine like terms: -36 + 18 = -18 6p = -18 Divide each side by '6'. p = -3 Simplifying p = -3
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