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Simplifying 10x + 9 + -11 + -1p = -2(2p + 4) + -3(2p + -2) Reorder the terms: 9 + -11 + -1p + 10x = -2(2p + 4) + -3(2p + -2) Combine like terms: 9 + -11 = -2 -2 + -1p + 10x = -2(2p + 4) + -3(2p + -2) Reorder the terms: -2 + -1p + 10x = -2(4 + 2p) + -3(2p + -2) -2 + -1p + 10x = (4 * -2 + 2p * -2) + -3(2p + -2) -2 + -1p + 10x = (-8 + -4p) + -3(2p + -2) Reorder the terms: -2 + -1p + 10x = -8 + -4p + -3(-2 + 2p) -2 + -1p + 10x = -8 + -4p + (-2 * -3 + 2p * -3) -2 + -1p + 10x = -8 + -4p + (6 + -6p) Reorder the terms: -2 + -1p + 10x = -8 + 6 + -4p + -6p Combine like terms: -8 + 6 = -2 -2 + -1p + 10x = -2 + -4p + -6p Combine like terms: -4p + -6p = -10p -2 + -1p + 10x = -2 + -10p Add '2' to each side of the equation. -2 + -1p + 2 + 10x = -2 + 2 + -10p Reorder the terms: -2 + 2 + -1p + 10x = -2 + 2 + -10p Combine like terms: -2 + 2 = 0 0 + -1p + 10x = -2 + 2 + -10p -1p + 10x = -2 + 2 + -10p Combine like terms: -2 + 2 = 0 -1p + 10x = 0 + -10p -1p + 10x = -10p Solving -1p + 10x = -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. -1p + 10p + 10x = -10p + 10p Combine like terms: -1p + 10p = 9p 9p + 10x = -10p + 10p Combine like terms: -10p + 10p = 0 9p + 10x = 0 Add '-10x' to each side of the equation. 9p + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 9p + 0 = 0 + -10x 9p = 0 + -10x Remove the zero: 9p = -10x Divide each side by '9'. p = -1.111111111x Simplifying p = -1.111111111x
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