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Simplifying 2p + -3(3 + -2p) = 3(p + -6) + -41 2p + (3 * -3 + -2p * -3) = 3(p + -6) + -41 2p + (-9 + 6p) = 3(p + -6) + -41 Reorder the terms: -9 + 2p + 6p = 3(p + -6) + -41 Combine like terms: 2p + 6p = 8p -9 + 8p = 3(p + -6) + -41 Reorder the terms: -9 + 8p = 3(-6 + p) + -41 -9 + 8p = (-6 * 3 + p * 3) + -41 -9 + 8p = (-18 + 3p) + -41 Reorder the terms: -9 + 8p = -18 + -41 + 3p Combine like terms: -18 + -41 = -59 -9 + 8p = -59 + 3p Solving -9 + 8p = -59 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -9 + 8p + -3p = -59 + 3p + -3p Combine like terms: 8p + -3p = 5p -9 + 5p = -59 + 3p + -3p Combine like terms: 3p + -3p = 0 -9 + 5p = -59 + 0 -9 + 5p = -59 Add '9' to each side of the equation. -9 + 9 + 5p = -59 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = -59 + 9 5p = -59 + 9 Combine like terms: -59 + 9 = -50 5p = -50 Divide each side by '5'. p = -10 Simplifying p = -10
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