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Simplifying 10p + 9 + -11 + -1p = -2(2p + 4) + 3(2p + -2) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 4) + 3(2p + -2) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 4) + 3(2p + -2) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 4) + 3(2p + -2) Reorder the terms: -2 + 9p = -2(4 + 2p) + 3(2p + -2) -2 + 9p = (4 * -2 + 2p * -2) + 3(2p + -2) -2 + 9p = (-8 + -4p) + 3(2p + -2) Reorder the terms: -2 + 9p = -8 + -4p + 3(-2 + 2p) -2 + 9p = -8 + -4p + (-2 * 3 + 2p * 3) -2 + 9p = -8 + -4p + (-6 + 6p) Reorder the terms: -2 + 9p = -8 + -6 + -4p + 6p Combine like terms: -8 + -6 = -14 -2 + 9p = -14 + -4p + 6p Combine like terms: -4p + 6p = 2p -2 + 9p = -14 + 2p Solving -2 + 9p = -14 + 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. -2 + 9p + -2p = -14 + 2p + -2p Combine like terms: 9p + -2p = 7p -2 + 7p = -14 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + 7p = -14 + 0 -2 + 7p = -14 Add '2' to each side of the equation. -2 + 2 + 7p = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 7p = -14 + 2 7p = -14 + 2 Combine like terms: -14 + 2 = -12 7p = -12 Divide each side by '7'. p = -1.714285714 Simplifying p = -1.714285714
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