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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 = -20 -20 + 10p + -1p = -2(2p + -4) + -3(2p + -2) Combine like terms: 10p + -1p = 9p -20 + 9p = -2(2p + -4) + -3(2p + -2) Reorder the terms: -20 + 9p = -2(-4 + 2p) + -3(2p + -2) -20 + 9p = (-4 * -2 + 2p * -2) + -3(2p + -2) -20 + 9p = (8 + -4p) + -3(2p + -2) Reorder the terms: -20 + 9p = 8 + -4p + -3(-2 + 2p) -20 + 9p = 8 + -4p + (-2 * -3 + 2p * -3) -20 + 9p = 8 + -4p + (6 + -6p) Reorder the terms: -20 + 9p = 8 + 6 + -4p + -6p Combine like terms: 8 + 6 = 14 -20 + 9p = 14 + -4p + -6p Combine like terms: -4p + -6p = -10p -20 + 9p = 14 + -10p Solving -20 + 9p = 14 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -20 + 9p + 10p = 14 + -10p + 10p Combine like terms: 9p + 10p = 19p -20 + 19p = 14 + -10p + 10p Combine like terms: -10p + 10p = 0 -20 + 19p = 14 + 0 -20 + 19p = 14 Add '20' to each side of the equation. -20 + 20 + 19p = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 19p = 14 + 20 19p = 14 + 20 Combine like terms: 14 + 20 = 34 19p = 34 Divide each side by '19'. p = 1.789473684 Simplifying p = 1.789473684
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