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Simplifying -7(8 + -3m) = -3(6 + -6m) + 4 (8 * -7 + -3m * -7) = -3(6 + -6m) + 4 (-56 + 21m) = -3(6 + -6m) + 4 -56 + 21m = (6 * -3 + -6m * -3) + 4 -56 + 21m = (-18 + 18m) + 4 Reorder the terms: -56 + 21m = -18 + 4 + 18m Combine like terms: -18 + 4 = -14 -56 + 21m = -14 + 18m Solving -56 + 21m = -14 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. -56 + 21m + -18m = -14 + 18m + -18m Combine like terms: 21m + -18m = 3m -56 + 3m = -14 + 18m + -18m Combine like terms: 18m + -18m = 0 -56 + 3m = -14 + 0 -56 + 3m = -14 Add '56' to each side of the equation. -56 + 56 + 3m = -14 + 56 Combine like terms: -56 + 56 = 0 0 + 3m = -14 + 56 3m = -14 + 56 Combine like terms: -14 + 56 = 42 3m = 42 Divide each side by '3'. m = 14 Simplifying m = 14
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