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Simplifying 2p + -2 + 7p = 2(7 + -7p) + -3(2 + -8p) Reorder the terms: -2 + 2p + 7p = 2(7 + -7p) + -3(2 + -8p) Combine like terms: 2p + 7p = 9p -2 + 9p = 2(7 + -7p) + -3(2 + -8p) -2 + 9p = (7 * 2 + -7p * 2) + -3(2 + -8p) -2 + 9p = (14 + -14p) + -3(2 + -8p) -2 + 9p = 14 + -14p + (2 * -3 + -8p * -3) -2 + 9p = 14 + -14p + (-6 + 24p) Reorder the terms: -2 + 9p = 14 + -6 + -14p + 24p Combine like terms: 14 + -6 = 8 -2 + 9p = 8 + -14p + 24p Combine like terms: -14p + 24p = 10p -2 + 9p = 8 + 10p Solving -2 + 9p = 8 + 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. -2 + 9p + -10p = 8 + 10p + -10p Combine like terms: 9p + -10p = -1p -2 + -1p = 8 + 10p + -10p Combine like terms: 10p + -10p = 0 -2 + -1p = 8 + 0 -2 + -1p = 8 Add '2' to each side of the equation. -2 + 2 + -1p = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -1p = 8 + 2 -1p = 8 + 2 Combine like terms: 8 + 2 = 10 -1p = 10 Divide each side by '-1'. p = -10 Simplifying p = -10
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