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Simplifying -7p + -4(5 + -4p) = 5(p + -6) + -18 -7p + (5 * -4 + -4p * -4) = 5(p + -6) + -18 -7p + (-20 + 16p) = 5(p + -6) + -18 Reorder the terms: -20 + -7p + 16p = 5(p + -6) + -18 Combine like terms: -7p + 16p = 9p -20 + 9p = 5(p + -6) + -18 Reorder the terms: -20 + 9p = 5(-6 + p) + -18 -20 + 9p = (-6 * 5 + p * 5) + -18 -20 + 9p = (-30 + 5p) + -18 Reorder the terms: -20 + 9p = -30 + -18 + 5p Combine like terms: -30 + -18 = -48 -20 + 9p = -48 + 5p Solving -20 + 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. -20 + 9p + -5p = -48 + 5p + -5p Combine like terms: 9p + -5p = 4p -20 + 4p = -48 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 4p = -48 + 0 -20 + 4p = -48 Add '20' to each side of the equation. -20 + 20 + 4p = -48 + 20 Combine like terms: -20 + 20 = 0 0 + 4p = -48 + 20 4p = -48 + 20 Combine like terms: -48 + 20 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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