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Simplifying 102 = 6(3m + -1) Reorder the terms: 102 = 6(-1 + 3m) 102 = (-1 * 6 + 3m * 6) 102 = (-6 + 18m) Solving 102 = -6 + 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. 102 + -18m = -6 + 18m + -18m Combine like terms: 18m + -18m = 0 102 + -18m = -6 + 0 102 + -18m = -6 Add '-102' to each side of the equation. 102 + -102 + -18m = -6 + -102 Combine like terms: 102 + -102 = 0 0 + -18m = -6 + -102 -18m = -6 + -102 Combine like terms: -6 + -102 = -108 -18m = -108 Divide each side by '-18'. m = 6 Simplifying m = 6
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