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Simplifying -2p + -2(2 + -5p) = 5(p + -5) + -15 -2p + (2 * -2 + -5p * -2) = 5(p + -5) + -15 -2p + (-4 + 10p) = 5(p + -5) + -15 Reorder the terms: -4 + -2p + 10p = 5(p + -5) + -15 Combine like terms: -2p + 10p = 8p -4 + 8p = 5(p + -5) + -15 Reorder the terms: -4 + 8p = 5(-5 + p) + -15 -4 + 8p = (-5 * 5 + p * 5) + -15 -4 + 8p = (-25 + 5p) + -15 Reorder the terms: -4 + 8p = -25 + -15 + 5p Combine like terms: -25 + -15 = -40 -4 + 8p = -40 + 5p Solving -4 + 8p = -40 + 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. -4 + 8p + -5p = -40 + 5p + -5p Combine like terms: 8p + -5p = 3p -4 + 3p = -40 + 5p + -5p Combine like terms: 5p + -5p = 0 -4 + 3p = -40 + 0 -4 + 3p = -40 Add '4' to each side of the equation. -4 + 4 + 3p = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = -40 + 4 3p = -40 + 4 Combine like terms: -40 + 4 = -36 3p = -36 Divide each side by '3'. p = -12 Simplifying p = -12
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