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Simplifying 10P + 9 + -11 + -1p = -2(2p + 4) + -2(2p + -2) Reorder the terms: 9 + -11 + 10P + -1p = -2(2p + 4) + -2(2p + -2) Combine like terms: 9 + -11 = -2 -2 + 10P + -1p = -2(2p + 4) + -2(2p + -2) Reorder the terms: -2 + 10P + -1p = -2(4 + 2p) + -2(2p + -2) -2 + 10P + -1p = (4 * -2 + 2p * -2) + -2(2p + -2) -2 + 10P + -1p = (-8 + -4p) + -2(2p + -2) Reorder the terms: -2 + 10P + -1p = -8 + -4p + -2(-2 + 2p) -2 + 10P + -1p = -8 + -4p + (-2 * -2 + 2p * -2) -2 + 10P + -1p = -8 + -4p + (4 + -4p) Reorder the terms: -2 + 10P + -1p = -8 + 4 + -4p + -4p Combine like terms: -8 + 4 = -4 -2 + 10P + -1p = -4 + -4p + -4p Combine like terms: -4p + -4p = -8p -2 + 10P + -1p = -4 + -8p Solving -2 + 10P + -1p = -4 + -8p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 10P + 2 + -1p = -4 + 2 + -8p Reorder the terms: -2 + 2 + 10P + -1p = -4 + 2 + -8p Combine like terms: -2 + 2 = 0 0 + 10P + -1p = -4 + 2 + -8p 10P + -1p = -4 + 2 + -8p Combine like terms: -4 + 2 = -2 10P + -1p = -2 + -8p Add 'p' to each side of the equation. 10P + -1p + p = -2 + -8p + p Combine like terms: -1p + p = 0 10P + 0 = -2 + -8p + p 10P = -2 + -8p + p Combine like terms: -8p + p = -7p 10P = -2 + -7p Divide each side by '10'. P = -0.2 + -0.7p Simplifying P = -0.2 + -0.7p
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