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Simplifying 10p + 9 + -11 + -1p = -2(2p + 4) + -3(2p + 4) + -3(2p + -2) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 4) + -3(2p + 4) + -3(2p + -2) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 4) + -3(2p + 4) + -3(2p + -2) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 4) + -3(2p + 4) + -3(2p + -2) Reorder the terms: -2 + 9p = -2(4 + 2p) + -3(2p + 4) + -3(2p + -2) -2 + 9p = (4 * -2 + 2p * -2) + -3(2p + 4) + -3(2p + -2) -2 + 9p = (-8 + -4p) + -3(2p + 4) + -3(2p + -2) Reorder the terms: -2 + 9p = -8 + -4p + -3(4 + 2p) + -3(2p + -2) -2 + 9p = -8 + -4p + (4 * -3 + 2p * -3) + -3(2p + -2) -2 + 9p = -8 + -4p + (-12 + -6p) + -3(2p + -2) Reorder the terms: -2 + 9p = -8 + -4p + -12 + -6p + -3(-2 + 2p) -2 + 9p = -8 + -4p + -12 + -6p + (-2 * -3 + 2p * -3) -2 + 9p = -8 + -4p + -12 + -6p + (6 + -6p) Reorder the terms: -2 + 9p = -8 + -12 + 6 + -4p + -6p + -6p Combine like terms: -8 + -12 = -20 -2 + 9p = -20 + 6 + -4p + -6p + -6p Combine like terms: -20 + 6 = -14 -2 + 9p = -14 + -4p + -6p + -6p Combine like terms: -4p + -6p = -10p -2 + 9p = -14 + -10p + -6p Combine like terms: -10p + -6p = -16p -2 + 9p = -14 + -16p Solving -2 + 9p = -14 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -2 + 9p + 16p = -14 + -16p + 16p Combine like terms: 9p + 16p = 25p -2 + 25p = -14 + -16p + 16p Combine like terms: -16p + 16p = 0 -2 + 25p = -14 + 0 -2 + 25p = -14 Add '2' to each side of the equation. -2 + 2 + 25p = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 25p = -14 + 2 25p = -14 + 2 Combine like terms: -14 + 2 = -12 25p = -12 Divide each side by '25'. p = -0.48 Simplifying p = -0.48
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