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Simplifying 2(3m + -4) = 2m + 8 Reorder the terms: 2(-4 + 3m) = 2m + 8 (-4 * 2 + 3m * 2) = 2m + 8 (-8 + 6m) = 2m + 8 Reorder the terms: -8 + 6m = 8 + 2m Solving -8 + 6m = 8 + 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. -8 + 6m + -2m = 8 + 2m + -2m Combine like terms: 6m + -2m = 4m -8 + 4m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -8 + 4m = 8 + 0 -8 + 4m = 8 Add '8' to each side of the equation. -8 + 8 + 4m = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4m = 8 + 8 4m = 8 + 8 Combine like terms: 8 + 8 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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