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Simplifying -7p + -3(6 + -5p) = 5(p + -2) + -14 -7p + (6 * -3 + -5p * -3) = 5(p + -2) + -14 -7p + (-18 + 15p) = 5(p + -2) + -14 Reorder the terms: -18 + -7p + 15p = 5(p + -2) + -14 Combine like terms: -7p + 15p = 8p -18 + 8p = 5(p + -2) + -14 Reorder the terms: -18 + 8p = 5(-2 + p) + -14 -18 + 8p = (-2 * 5 + p * 5) + -14 -18 + 8p = (-10 + 5p) + -14 Reorder the terms: -18 + 8p = -10 + -14 + 5p Combine like terms: -10 + -14 = -24 -18 + 8p = -24 + 5p Solving -18 + 8p = -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. -18 + 8p + -5p = -24 + 5p + -5p Combine like terms: 8p + -5p = 3p -18 + 3p = -24 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 3p = -24 + 0 -18 + 3p = -24 Add '18' to each side of the equation. -18 + 18 + 3p = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -24 + 18 3p = -24 + 18 Combine like terms: -24 + 18 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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