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Simplifying 152 = 6(1 + -3m) + 2 152 = (1 * 6 + -3m * 6) + 2 152 = (6 + -18m) + 2 Reorder the terms: 152 = 6 + 2 + -18m Combine like terms: 6 + 2 = 8 152 = 8 + -18m Solving 152 = 8 + -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. 152 + 18m = 8 + -18m + 18m Combine like terms: -18m + 18m = 0 152 + 18m = 8 + 0 152 + 18m = 8 Add '-152' to each side of the equation. 152 + -152 + 18m = 8 + -152 Combine like terms: 152 + -152 = 0 0 + 18m = 8 + -152 18m = 8 + -152 Combine like terms: 8 + -152 = -144 18m = -144 Divide each side by '18'. m = -8 Simplifying m = -8
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