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Simplifying 12 + -3(p + 6) + -1(p + -2m) = 0 Reorder the terms: 12 + -3(6 + p) + -1(p + -2m) = 0 12 + (6 * -3 + p * -3) + -1(p + -2m) = 0 12 + (-18 + -3p) + -1(p + -2m) = 0 Reorder the terms: 12 + -18 + -3p + -1(-2m + p) = 0 12 + -18 + -3p + (-2m * -1 + p * -1) = 0 12 + -18 + -3p + (2m + -1p) = 0 Reorder the terms: 12 + -18 + 2m + -3p + -1p = 0 Combine like terms: 12 + -18 = -6 -6 + 2m + -3p + -1p = 0 Combine like terms: -3p + -1p = -4p -6 + 2m + -4p = 0 Solving -6 + 2m + -4p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2m + 6 + -4p = 0 + 6 Reorder the terms: -6 + 6 + 2m + -4p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2m + -4p = 0 + 6 2m + -4p = 0 + 6 Combine like terms: 0 + 6 = 6 2m + -4p = 6 Add '4p' to each side of the equation. 2m + -4p + 4p = 6 + 4p Combine like terms: -4p + 4p = 0 2m + 0 = 6 + 4p 2m = 6 + 4p Divide each side by '2'. m = 3 + 2p Simplifying m = 3 + 2p
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