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Simplifying -5(4p + 3) + -31 = 2(5p + 7) Reorder the terms: -5(3 + 4p) + -31 = 2(5p + 7) (3 * -5 + 4p * -5) + -31 = 2(5p + 7) (-15 + -20p) + -31 = 2(5p + 7) Reorder the terms: -15 + -31 + -20p = 2(5p + 7) Combine like terms: -15 + -31 = -46 -46 + -20p = 2(5p + 7) Reorder the terms: -46 + -20p = 2(7 + 5p) -46 + -20p = (7 * 2 + 5p * 2) -46 + -20p = (14 + 10p) Solving -46 + -20p = 14 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -46 + -20p + -10p = 14 + 10p + -10p Combine like terms: -20p + -10p = -30p -46 + -30p = 14 + 10p + -10p Combine like terms: 10p + -10p = 0 -46 + -30p = 14 + 0 -46 + -30p = 14 Add '46' to each side of the equation. -46 + 46 + -30p = 14 + 46 Combine like terms: -46 + 46 = 0 0 + -30p = 14 + 46 -30p = 14 + 46 Combine like terms: 14 + 46 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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