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Simplifying -5(4p + 3) + -31 = 3(3p + 4) Reorder the terms: -5(3 + 4p) + -31 = 3(3p + 4) (3 * -5 + 4p * -5) + -31 = 3(3p + 4) (-15 + -20p) + -31 = 3(3p + 4) Reorder the terms: -15 + -31 + -20p = 3(3p + 4) Combine like terms: -15 + -31 = -46 -46 + -20p = 3(3p + 4) Reorder the terms: -46 + -20p = 3(4 + 3p) -46 + -20p = (4 * 3 + 3p * 3) -46 + -20p = (12 + 9p) Solving -46 + -20p = 12 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -46 + -20p + -9p = 12 + 9p + -9p Combine like terms: -20p + -9p = -29p -46 + -29p = 12 + 9p + -9p Combine like terms: 9p + -9p = 0 -46 + -29p = 12 + 0 -46 + -29p = 12 Add '46' to each side of the equation. -46 + 46 + -29p = 12 + 46 Combine like terms: -46 + 46 = 0 0 + -29p = 12 + 46 -29p = 12 + 46 Combine like terms: 12 + 46 = 58 -29p = 58 Divide each side by '-29'. p = -2 Simplifying p = -2
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