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Simplifying -3(5p + -4) + -2 = 8(-1p + 3) Reorder the terms: -3(-4 + 5p) + -2 = 8(-1p + 3) (-4 * -3 + 5p * -3) + -2 = 8(-1p + 3) (12 + -15p) + -2 = 8(-1p + 3) Reorder the terms: 12 + -2 + -15p = 8(-1p + 3) Combine like terms: 12 + -2 = 10 10 + -15p = 8(-1p + 3) Reorder the terms: 10 + -15p = 8(3 + -1p) 10 + -15p = (3 * 8 + -1p * 8) 10 + -15p = (24 + -8p) Solving 10 + -15p = 24 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 10 + -15p + 8p = 24 + -8p + 8p Combine like terms: -15p + 8p = -7p 10 + -7p = 24 + -8p + 8p Combine like terms: -8p + 8p = 0 10 + -7p = 24 + 0 10 + -7p = 24 Add '-10' to each side of the equation. 10 + -10 + -7p = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -7p = 24 + -10 -7p = 24 + -10 Combine like terms: 24 + -10 = 14 -7p = 14 Divide each side by '-7'. p = -2 Simplifying p = -2
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