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Simplifying 10p + 9 + -11 + -1p = -2(2p + 4) + -3(2p + -3) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 4) + -3(2p + -3) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 4) + -3(2p + -3) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 4) + -3(2p + -3) Reorder the terms: -2 + 9p = -2(4 + 2p) + -3(2p + -3) -2 + 9p = (4 * -2 + 2p * -2) + -3(2p + -3) -2 + 9p = (-8 + -4p) + -3(2p + -3) Reorder the terms: -2 + 9p = -8 + -4p + -3(-3 + 2p) -2 + 9p = -8 + -4p + (-3 * -3 + 2p * -3) -2 + 9p = -8 + -4p + (9 + -6p) Reorder the terms: -2 + 9p = -8 + 9 + -4p + -6p Combine like terms: -8 + 9 = 1 -2 + 9p = 1 + -4p + -6p Combine like terms: -4p + -6p = -10p -2 + 9p = 1 + -10p Solving -2 + 9p = 1 + -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. -2 + 9p + 10p = 1 + -10p + 10p Combine like terms: 9p + 10p = 19p -2 + 19p = 1 + -10p + 10p Combine like terms: -10p + 10p = 0 -2 + 19p = 1 + 0 -2 + 19p = 1 Add '2' to each side of the equation. -2 + 2 + 19p = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 19p = 1 + 2 19p = 1 + 2 Combine like terms: 1 + 2 = 3 19p = 3 Divide each side by '19'. p = 0.1578947368 Simplifying p = 0.1578947368
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