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Simplifying -5(3p + -1) = -8p + 40 Reorder the terms: -5(-1 + 3p) = -8p + 40 (-1 * -5 + 3p * -5) = -8p + 40 (5 + -15p) = -8p + 40 Reorder the terms: 5 + -15p = 40 + -8p Solving 5 + -15p = 40 + -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. 5 + -15p + 8p = 40 + -8p + 8p Combine like terms: -15p + 8p = -7p 5 + -7p = 40 + -8p + 8p Combine like terms: -8p + 8p = 0 5 + -7p = 40 + 0 5 + -7p = 40 Add '-5' to each side of the equation. 5 + -5 + -7p = 40 + -5 Combine like terms: 5 + -5 = 0 0 + -7p = 40 + -5 -7p = 40 + -5 Combine like terms: 40 + -5 = 35 -7p = 35 Divide each side by '-7'. p = -5 Simplifying p = -5
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