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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 = 12 -2 + 10P + -1p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -2 + 10P + -1p = 12 + 0 -2 + 10P + -1p = 12 Solving -2 + 10P + -1p = 12 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 = 12 + 2 Reorder the terms: -2 + 2 + 10P + -1p = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 10P + -1p = 12 + 2 10P + -1p = 12 + 2 Combine like terms: 12 + 2 = 14 10P + -1p = 14 Add 'p' to each side of the equation. 10P + -1p + p = 14 + p Combine like terms: -1p + p = 0 10P + 0 = 14 + p 10P = 14 + p Divide each side by '10'. P = 1.4 + 0.1p Simplifying P = 1.4 + 0.1p
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