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Simplifying 5(p + -1) + 8 = -2(1 + -5p) Reorder the terms: 5(-1 + p) + 8 = -2(1 + -5p) (-1 * 5 + p * 5) + 8 = -2(1 + -5p) (-5 + 5p) + 8 = -2(1 + -5p) Reorder the terms: -5 + 8 + 5p = -2(1 + -5p) Combine like terms: -5 + 8 = 3 3 + 5p = -2(1 + -5p) 3 + 5p = (1 * -2 + -5p * -2) 3 + 5p = (-2 + 10p) Solving 3 + 5p = -2 + 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. 3 + 5p + -10p = -2 + 10p + -10p Combine like terms: 5p + -10p = -5p 3 + -5p = -2 + 10p + -10p Combine like terms: 10p + -10p = 0 3 + -5p = -2 + 0 3 + -5p = -2 Add '-3' to each side of the equation. 3 + -3 + -5p = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -5p = -2 + -3 -5p = -2 + -3 Combine like terms: -2 + -3 = -5 -5p = -5 Divide each side by '-5'. p = 1 Simplifying p = 1
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