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Simplifying 3(2m + -4) = 4m + -6 Reorder the terms: 3(-4 + 2m) = 4m + -6 (-4 * 3 + 2m * 3) = 4m + -6 (-12 + 6m) = 4m + -6 Reorder the terms: -12 + 6m = -6 + 4m Solving -12 + 6m = -6 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -12 + 6m + -4m = -6 + 4m + -4m Combine like terms: 6m + -4m = 2m -12 + 2m = -6 + 4m + -4m Combine like terms: 4m + -4m = 0 -12 + 2m = -6 + 0 -12 + 2m = -6 Add '12' to each side of the equation. -12 + 12 + 2m = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2m = -6 + 12 2m = -6 + 12 Combine like terms: -6 + 12 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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