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Simplifying -8p + -6(6 + -3p) = 5(p + -4) + -31 -8p + (6 * -6 + -3p * -6) = 5(p + -4) + -31 -8p + (-36 + 18p) = 5(p + -4) + -31 Reorder the terms: -36 + -8p + 18p = 5(p + -4) + -31 Combine like terms: -8p + 18p = 10p -36 + 10p = 5(p + -4) + -31 Reorder the terms: -36 + 10p = 5(-4 + p) + -31 -36 + 10p = (-4 * 5 + p * 5) + -31 -36 + 10p = (-20 + 5p) + -31 Reorder the terms: -36 + 10p = -20 + -31 + 5p Combine like terms: -20 + -31 = -51 -36 + 10p = -51 + 5p Solving -36 + 10p = -51 + 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. -36 + 10p + -5p = -51 + 5p + -5p Combine like terms: 10p + -5p = 5p -36 + 5p = -51 + 5p + -5p Combine like terms: 5p + -5p = 0 -36 + 5p = -51 + 0 -36 + 5p = -51 Add '36' to each side of the equation. -36 + 36 + 5p = -51 + 36 Combine like terms: -36 + 36 = 0 0 + 5p = -51 + 36 5p = -51 + 36 Combine like terms: -51 + 36 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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