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Simplifying 10 + 9 + -11 + -1p = -2(2p + 4) + -3(2p + -2) Combine like terms: 10 + 9 = 19 19 + -11 + -1p = -2(2p + 4) + -3(2p + -2) Combine like terms: 19 + -11 = 8 8 + -1p = -2(2p + 4) + -3(2p + -2) Reorder the terms: 8 + -1p = -2(4 + 2p) + -3(2p + -2) 8 + -1p = (4 * -2 + 2p * -2) + -3(2p + -2) 8 + -1p = (-8 + -4p) + -3(2p + -2) Reorder the terms: 8 + -1p = -8 + -4p + -3(-2 + 2p) 8 + -1p = -8 + -4p + (-2 * -3 + 2p * -3) 8 + -1p = -8 + -4p + (6 + -6p) Reorder the terms: 8 + -1p = -8 + 6 + -4p + -6p Combine like terms: -8 + 6 = -2 8 + -1p = -2 + -4p + -6p Combine like terms: -4p + -6p = -10p 8 + -1p = -2 + -10p Solving 8 + -1p = -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. 8 + -1p + 10p = -2 + -10p + 10p Combine like terms: -1p + 10p = 9p 8 + 9p = -2 + -10p + 10p Combine like terms: -10p + 10p = 0 8 + 9p = -2 + 0 8 + 9p = -2 Add '-8' to each side of the equation. 8 + -8 + 9p = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 9p = -2 + -8 9p = -2 + -8 Combine like terms: -2 + -8 = -10 9p = -10 Divide each side by '9'. p = -1.111111111 Simplifying p = -1.111111111
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