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