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Simplifying -2(5p + -1) + -5p = -40 + -8p Reorder the terms: -2(-1 + 5p) + -5p = -40 + -8p (-1 * -2 + 5p * -2) + -5p = -40 + -8p (2 + -10p) + -5p = -40 + -8p Combine like terms: -10p + -5p = -15p 2 + -15p = -40 + -8p Solving 2 + -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. 2 + -15p + 8p = -40 + -8p + 8p Combine like terms: -15p + 8p = -7p 2 + -7p = -40 + -8p + 8p Combine like terms: -8p + 8p = 0 2 + -7p = -40 + 0 2 + -7p = -40 Add '-2' to each side of the equation. 2 + -2 + -7p = -40 + -2 Combine like terms: 2 + -2 = 0 0 + -7p = -40 + -2 -7p = -40 + -2 Combine like terms: -40 + -2 = -42 -7p = -42 Divide each side by '-7'. p = 6 Simplifying p = 6
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