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Simplifying 2p + -9 = -12 + -8(p + -10) Reorder the terms: -9 + 2p = -12 + -8(p + -10) Reorder the terms: -9 + 2p = -12 + -8(-10 + p) -9 + 2p = -12 + (-10 * -8 + p * -8) -9 + 2p = -12 + (80 + -8p) Combine like terms: -12 + 80 = 68 -9 + 2p = 68 + -8p Solving -9 + 2p = 68 + -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. -9 + 2p + 8p = 68 + -8p + 8p Combine like terms: 2p + 8p = 10p -9 + 10p = 68 + -8p + 8p Combine like terms: -8p + 8p = 0 -9 + 10p = 68 + 0 -9 + 10p = 68 Add '9' to each side of the equation. -9 + 9 + 10p = 68 + 9 Combine like terms: -9 + 9 = 0 0 + 10p = 68 + 9 10p = 68 + 9 Combine like terms: 68 + 9 = 77 10p = 77 Divide each side by '10'. p = 7.7 Simplifying p = 7.7
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