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Simplifying 2(2m + 1) = 6(3m + -2) Reorder the terms: 2(1 + 2m) = 6(3m + -2) (1 * 2 + 2m * 2) = 6(3m + -2) (2 + 4m) = 6(3m + -2) Reorder the terms: 2 + 4m = 6(-2 + 3m) 2 + 4m = (-2 * 6 + 3m * 6) 2 + 4m = (-12 + 18m) Solving 2 + 4m = -12 + 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. 2 + 4m + -18m = -12 + 18m + -18m Combine like terms: 4m + -18m = -14m 2 + -14m = -12 + 18m + -18m Combine like terms: 18m + -18m = 0 2 + -14m = -12 + 0 2 + -14m = -12 Add '-2' to each side of the equation. 2 + -2 + -14m = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -14m = -12 + -2 -14m = -12 + -2 Combine like terms: -12 + -2 = -14 -14m = -14 Divide each side by '-14'. m = 1 Simplifying m = 1
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