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Simplifying -9p + -3(4 + -6p) = 5(p + -6) + -18 -9p + (4 * -3 + -6p * -3) = 5(p + -6) + -18 -9p + (-12 + 18p) = 5(p + -6) + -18 Reorder the terms: -12 + -9p + 18p = 5(p + -6) + -18 Combine like terms: -9p + 18p = 9p -12 + 9p = 5(p + -6) + -18 Reorder the terms: -12 + 9p = 5(-6 + p) + -18 -12 + 9p = (-6 * 5 + p * 5) + -18 -12 + 9p = (-30 + 5p) + -18 Reorder the terms: -12 + 9p = -30 + -18 + 5p Combine like terms: -30 + -18 = -48 -12 + 9p = -48 + 5p Solving -12 + 9p = -48 + 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 = -48 + 5p + -5p Combine like terms: 9p + -5p = 4p -12 + 4p = -48 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 4p = -48 + 0 -12 + 4p = -48 Add '12' to each side of the equation. -12 + 12 + 4p = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -48 + 12 4p = -48 + 12 Combine like terms: -48 + 12 = -36 4p = -36 Divide each side by '4'. p = -9 Simplifying p = -9
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