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Simplifying 9 + -10.7p = -0.7p + -1(2p + 1) Reorder the terms: 9 + -10.7p = -0.7p + -1(1 + 2p) 9 + -10.7p = -0.7p + (1 * -1 + 2p * -1) 9 + -10.7p = -0.7p + (-1 + -2p) Reorder the terms: 9 + -10.7p = -1 + -0.7p + -2p Combine like terms: -0.7p + -2p = -2.7p 9 + -10.7p = -1 + -2.7p Solving 9 + -10.7p = -1 + -2.7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2.7p' to each side of the equation. 9 + -10.7p + 2.7p = -1 + -2.7p + 2.7p Combine like terms: -10.7p + 2.7p = -8p 9 + -8p = -1 + -2.7p + 2.7p Combine like terms: -2.7p + 2.7p = 0.0 9 + -8p = -1 + 0.0 9 + -8p = -1 Add '-9' to each side of the equation. 9 + -9 + -8p = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -8p = -1 + -9 -8p = -1 + -9 Combine like terms: -1 + -9 = -10 -8p = -10 Divide each side by '-8'. p = 1.25 Simplifying p = 1.25
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