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Simplifying -4(2p + 2) + -23 = 5(5p + 7) Reorder the terms: -4(2 + 2p) + -23 = 5(5p + 7) (2 * -4 + 2p * -4) + -23 = 5(5p + 7) (-8 + -8p) + -23 = 5(5p + 7) Reorder the terms: -8 + -23 + -8p = 5(5p + 7) Combine like terms: -8 + -23 = -31 -31 + -8p = 5(5p + 7) Reorder the terms: -31 + -8p = 5(7 + 5p) -31 + -8p = (7 * 5 + 5p * 5) -31 + -8p = (35 + 25p) Solving -31 + -8p = 35 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. -31 + -8p + -25p = 35 + 25p + -25p Combine like terms: -8p + -25p = -33p -31 + -33p = 35 + 25p + -25p Combine like terms: 25p + -25p = 0 -31 + -33p = 35 + 0 -31 + -33p = 35 Add '31' to each side of the equation. -31 + 31 + -33p = 35 + 31 Combine like terms: -31 + 31 = 0 0 + -33p = 35 + 31 -33p = 35 + 31 Combine like terms: 35 + 31 = 66 -33p = 66 Divide each side by '-33'. p = -2 Simplifying p = -2
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