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Simplifying -8p + -3(5 + -6p) = 5(p + -3) + -35 -8p + (5 * -3 + -6p * -3) = 5(p + -3) + -35 -8p + (-15 + 18p) = 5(p + -3) + -35 Reorder the terms: -15 + -8p + 18p = 5(p + -3) + -35 Combine like terms: -8p + 18p = 10p -15 + 10p = 5(p + -3) + -35 Reorder the terms: -15 + 10p = 5(-3 + p) + -35 -15 + 10p = (-3 * 5 + p * 5) + -35 -15 + 10p = (-15 + 5p) + -35 Reorder the terms: -15 + 10p = -15 + -35 + 5p Combine like terms: -15 + -35 = -50 -15 + 10p = -50 + 5p Solving -15 + 10p = -50 + 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. -15 + 10p + -5p = -50 + 5p + -5p Combine like terms: 10p + -5p = 5p -15 + 5p = -50 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 5p = -50 + 0 -15 + 5p = -50 Add '15' to each side of the equation. -15 + 15 + 5p = -50 + 15 Combine like terms: -15 + 15 = 0 0 + 5p = -50 + 15 5p = -50 + 15 Combine like terms: -50 + 15 = -35 5p = -35 Divide each side by '5'. p = -7 Simplifying p = -7
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