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Simplifying 10p + 9 + -1p = -2(2p + 4) + -3(-2p + -2) Reorder the terms: 9 + 10p + -1p = -2(2p + 4) + -3(-2p + -2) Combine like terms: 10p + -1p = 9p 9 + 9p = -2(2p + 4) + -3(-2p + -2) Reorder the terms: 9 + 9p = -2(4 + 2p) + -3(-2p + -2) 9 + 9p = (4 * -2 + 2p * -2) + -3(-2p + -2) 9 + 9p = (-8 + -4p) + -3(-2p + -2) Reorder the terms: 9 + 9p = -8 + -4p + -3(-2 + -2p) 9 + 9p = -8 + -4p + (-2 * -3 + -2p * -3) 9 + 9p = -8 + -4p + (6 + 6p) Reorder the terms: 9 + 9p = -8 + 6 + -4p + 6p Combine like terms: -8 + 6 = -2 9 + 9p = -2 + -4p + 6p Combine like terms: -4p + 6p = 2p 9 + 9p = -2 + 2p Solving 9 + 9p = -2 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 9 + 9p + -2p = -2 + 2p + -2p Combine like terms: 9p + -2p = 7p 9 + 7p = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 9 + 7p = -2 + 0 9 + 7p = -2 Add '-9' to each side of the equation. 9 + -9 + 7p = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 7p = -2 + -9 7p = -2 + -9 Combine like terms: -2 + -9 = -11 7p = -11 Divide each side by '7'. p = -1.571428571 Simplifying p = -1.571428571
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