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Simplifying -9p + -6(2 + -3p) = 5(p + -2) + -14 -9p + (2 * -6 + -3p * -6) = 5(p + -2) + -14 -9p + (-12 + 18p) = 5(p + -2) + -14 Reorder the terms: -12 + -9p + 18p = 5(p + -2) + -14 Combine like terms: -9p + 18p = 9p -12 + 9p = 5(p + -2) + -14 Reorder the terms: -12 + 9p = 5(-2 + p) + -14 -12 + 9p = (-2 * 5 + p * 5) + -14 -12 + 9p = (-10 + 5p) + -14 Reorder the terms: -12 + 9p = -10 + -14 + 5p Combine like terms: -10 + -14 = -24 -12 + 9p = -24 + 5p Solving -12 + 9p = -24 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 9p + -5p = -24 + 5p + -5p Combine like terms: 9p + -5p = 4p -12 + 4p = -24 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 4p = -24 + 0 -12 + 4p = -24 Add '12' to each side of the equation. -12 + 12 + 4p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -24 + 12 4p = -24 + 12 Combine like terms: -24 + 12 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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