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Simplifying -3p + -2(4 + -5p) = 5(p + -5) + -3 -3p + (4 * -2 + -5p * -2) = 5(p + -5) + -3 -3p + (-8 + 10p) = 5(p + -5) + -3 Reorder the terms: -8 + -3p + 10p = 5(p + -5) + -3 Combine like terms: -3p + 10p = 7p -8 + 7p = 5(p + -5) + -3 Reorder the terms: -8 + 7p = 5(-5 + p) + -3 -8 + 7p = (-5 * 5 + p * 5) + -3 -8 + 7p = (-25 + 5p) + -3 Reorder the terms: -8 + 7p = -25 + -3 + 5p Combine like terms: -25 + -3 = -28 -8 + 7p = -28 + 5p Solving -8 + 7p = -28 + 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. -8 + 7p + -5p = -28 + 5p + -5p Combine like terms: 7p + -5p = 2p -8 + 2p = -28 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + 2p = -28 + 0 -8 + 2p = -28 Add '8' to each side of the equation. -8 + 8 + 2p = -28 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -28 + 8 2p = -28 + 8 Combine like terms: -28 + 8 = -20 2p = -20 Divide each side by '2'. p = -10 Simplifying p = -10
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