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Simplifying -4(2p + -5) + -15 = 7p + 20 Reorder the terms: -4(-5 + 2p) + -15 = 7p + 20 (-5 * -4 + 2p * -4) + -15 = 7p + 20 (20 + -8p) + -15 = 7p + 20 Reorder the terms: 20 + -15 + -8p = 7p + 20 Combine like terms: 20 + -15 = 5 5 + -8p = 7p + 20 Reorder the terms: 5 + -8p = 20 + 7p Solving 5 + -8p = 20 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 5 + -8p + -7p = 20 + 7p + -7p Combine like terms: -8p + -7p = -15p 5 + -15p = 20 + 7p + -7p Combine like terms: 7p + -7p = 0 5 + -15p = 20 + 0 5 + -15p = 20 Add '-5' to each side of the equation. 5 + -5 + -15p = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -15p = 20 + -5 -15p = 20 + -5 Combine like terms: 20 + -5 = 15 -15p = 15 Divide each side by '-15'. p = -1 Simplifying p = -1
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