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