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Simplifying -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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