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Simplifying -4(2p + 2) + -23 = 3(5p + 5) Reorder the terms: -4(2 + 2p) + -23 = 3(5p + 5) (2 * -4 + 2p * -4) + -23 = 3(5p + 5) (-8 + -8p) + -23 = 3(5p + 5) Reorder the terms: -8 + -23 + -8p = 3(5p + 5) Combine like terms: -8 + -23 = -31 -31 + -8p = 3(5p + 5) Reorder the terms: -31 + -8p = 3(5 + 5p) -31 + -8p = (5 * 3 + 5p * 3) -31 + -8p = (15 + 15p) Solving -31 + -8p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -31 + -8p + -15p = 15 + 15p + -15p Combine like terms: -8p + -15p = -23p -31 + -23p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -31 + -23p = 15 + 0 -31 + -23p = 15 Add '31' to each side of the equation. -31 + 31 + -23p = 15 + 31 Combine like terms: -31 + 31 = 0 0 + -23p = 15 + 31 -23p = 15 + 31 Combine like terms: 15 + 31 = 46 -23p = 46 Divide each side by '-23'. p = -2 Simplifying p = -2
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