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Simplifying 10p + 9 + -11p = 2(2p + 4) + -3(2p + -2) Reorder the terms: 9 + 10p + -11p = 2(2p + 4) + -3(2p + -2) Combine like terms: 10p + -11p = -1p 9 + -1p = 2(2p + 4) + -3(2p + -2) Reorder the terms: 9 + -1p = 2(4 + 2p) + -3(2p + -2) 9 + -1p = (4 * 2 + 2p * 2) + -3(2p + -2) 9 + -1p = (8 + 4p) + -3(2p + -2) Reorder the terms: 9 + -1p = 8 + 4p + -3(-2 + 2p) 9 + -1p = 8 + 4p + (-2 * -3 + 2p * -3) 9 + -1p = 8 + 4p + (6 + -6p) Reorder the terms: 9 + -1p = 8 + 6 + 4p + -6p Combine like terms: 8 + 6 = 14 9 + -1p = 14 + 4p + -6p Combine like terms: 4p + -6p = -2p 9 + -1p = 14 + -2p Solving 9 + -1p = 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. 9 + -1p + 2p = 14 + -2p + 2p Combine like terms: -1p + 2p = 1p 9 + 1p = 14 + -2p + 2p Combine like terms: -2p + 2p = 0 9 + 1p = 14 + 0 9 + 1p = 14 Add '-9' to each side of the equation. 9 + -9 + 1p = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1p = 14 + -9 1p = 14 + -9 Combine like terms: 14 + -9 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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