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Simplifying 10p + 9 + -11 + -1p = -2(p + 4) + -3(2p) Reorder the terms: 9 + -11 + 10p + -1p = -2(p + 4) + -3(2p) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(p + 4) + -3(2p) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(p + 4) + -3(2p) Reorder the terms: -2 + 9p = -2(4 + p) + -3(2p) -2 + 9p = (4 * -2 + p * -2) + -3(2p) -2 + 9p = (-8 + -2p) + -3(2p) Remove parenthesis around (2p) -2 + 9p = -8 + -2p + -3 * 2p Multiply -3 * 2 -2 + 9p = -8 + -2p + -6p Combine like terms: -2p + -6p = -8p -2 + 9p = -8 + -8p Solving -2 + 9p = -8 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -2 + 9p + 8p = -8 + -8p + 8p Combine like terms: 9p + 8p = 17p -2 + 17p = -8 + -8p + 8p Combine like terms: -8p + 8p = 0 -2 + 17p = -8 + 0 -2 + 17p = -8 Add '2' to each side of the equation. -2 + 2 + 17p = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 17p = -8 + 2 17p = -8 + 2 Combine like terms: -8 + 2 = -6 17p = -6 Divide each side by '17'. p = -0.3529411765 Simplifying p = -0.3529411765
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