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Simplifying 6(m + 3) = 2(m + -1) Reorder the terms: 6(3 + m) = 2(m + -1) (3 * 6 + m * 6) = 2(m + -1) (18 + 6m) = 2(m + -1) Reorder the terms: 18 + 6m = 2(-1 + m) 18 + 6m = (-1 * 2 + m * 2) 18 + 6m = (-2 + 2m) Solving 18 + 6m = -2 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 18 + 6m + -2m = -2 + 2m + -2m Combine like terms: 6m + -2m = 4m 18 + 4m = -2 + 2m + -2m Combine like terms: 2m + -2m = 0 18 + 4m = -2 + 0 18 + 4m = -2 Add '-18' to each side of the equation. 18 + -18 + 4m = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 4m = -2 + -18 4m = -2 + -18 Combine like terms: -2 + -18 = -20 4m = -20 Divide each side by '4'. m = -5 Simplifying m = -5
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