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Simplifying -2p + 8 = 6 + -1(10p + 7) Reorder the terms: 8 + -2p = 6 + -1(10p + 7) Reorder the terms: 8 + -2p = 6 + -1(7 + 10p) 8 + -2p = 6 + (7 * -1 + 10p * -1) 8 + -2p = 6 + (-7 + -10p) Combine like terms: 6 + -7 = -1 8 + -2p = -1 + -10p Solving 8 + -2p = -1 + -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. 8 + -2p + 10p = -1 + -10p + 10p Combine like terms: -2p + 10p = 8p 8 + 8p = -1 + -10p + 10p Combine like terms: -10p + 10p = 0 8 + 8p = -1 + 0 8 + 8p = -1 Add '-8' to each side of the equation. 8 + -8 + 8p = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 8p = -1 + -8 8p = -1 + -8 Combine like terms: -1 + -8 = -9 8p = -9 Divide each side by '8'. p = -1.125 Simplifying p = -1.125
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