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Simplifying -18p + -5(3 + -5p) = 3(p + -6) + -13 -18p + (3 * -5 + -5p * -5) = 3(p + -6) + -13 -18p + (-15 + 25p) = 3(p + -6) + -13 Reorder the terms: -15 + -18p + 25p = 3(p + -6) + -13 Combine like terms: -18p + 25p = 7p -15 + 7p = 3(p + -6) + -13 Reorder the terms: -15 + 7p = 3(-6 + p) + -13 -15 + 7p = (-6 * 3 + p * 3) + -13 -15 + 7p = (-18 + 3p) + -13 Reorder the terms: -15 + 7p = -18 + -13 + 3p Combine like terms: -18 + -13 = -31 -15 + 7p = -31 + 3p Solving -15 + 7p = -31 + 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. -15 + 7p + -3p = -31 + 3p + -3p Combine like terms: 7p + -3p = 4p -15 + 4p = -31 + 3p + -3p Combine like terms: 3p + -3p = 0 -15 + 4p = -31 + 0 -15 + 4p = -31 Add '15' to each side of the equation. -15 + 15 + 4p = -31 + 15 Combine like terms: -15 + 15 = 0 0 + 4p = -31 + 15 4p = -31 + 15 Combine like terms: -31 + 15 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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