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