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Simplifying 3(6 + -3m) + m = 2(1 + -8m) (6 * 3 + -3m * 3) + m = 2(1 + -8m) (18 + -9m) + m = 2(1 + -8m) Combine like terms: -9m + m = -8m 18 + -8m = 2(1 + -8m) 18 + -8m = (1 * 2 + -8m * 2) 18 + -8m = (2 + -16m) Solving 18 + -8m = 2 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 18 + -8m + 16m = 2 + -16m + 16m Combine like terms: -8m + 16m = 8m 18 + 8m = 2 + -16m + 16m Combine like terms: -16m + 16m = 0 18 + 8m = 2 + 0 18 + 8m = 2 Add '-18' to each side of the equation. 18 + -18 + 8m = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 8m = 2 + -18 8m = 2 + -18 Combine like terms: 2 + -18 = -16 8m = -16 Divide each side by '8'. m = -2 Simplifying m = -2
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