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Simplifying 10p + 8 + -11 + -1p = -2(2p + 4) + -3(2p + -2) Reorder the terms: 8 + -11 + 10p + -1p = -2(2p + 4) + -3(2p + -2) Combine like terms: 8 + -11 = -3 -3 + 10p + -1p = -2(2p + 4) + -3(2p + -2) Combine like terms: 10p + -1p = 9p -3 + 9p = -2(2p + 4) + -3(2p + -2) Reorder the terms: -3 + 9p = -2(4 + 2p) + -3(2p + -2) -3 + 9p = (4 * -2 + 2p * -2) + -3(2p + -2) -3 + 9p = (-8 + -4p) + -3(2p + -2) Reorder the terms: -3 + 9p = -8 + -4p + -3(-2 + 2p) -3 + 9p = -8 + -4p + (-2 * -3 + 2p * -3) -3 + 9p = -8 + -4p + (6 + -6p) Reorder the terms: -3 + 9p = -8 + 6 + -4p + -6p Combine like terms: -8 + 6 = -2 -3 + 9p = -2 + -4p + -6p Combine like terms: -4p + -6p = -10p -3 + 9p = -2 + -10p Solving -3 + 9p = -2 + -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. -3 + 9p + 10p = -2 + -10p + 10p Combine like terms: 9p + 10p = 19p -3 + 19p = -2 + -10p + 10p Combine like terms: -10p + 10p = 0 -3 + 19p = -2 + 0 -3 + 19p = -2 Add '3' to each side of the equation. -3 + 3 + 19p = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 19p = -2 + 3 19p = -2 + 3 Combine like terms: -2 + 3 = 1 19p = 1 Divide each side by '19'. p = 0.05263157895 Simplifying p = 0.05263157895
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