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Simplifying 2(3m + -2) = 8 + 2m Reorder the terms: 2(-2 + 3m) = 8 + 2m (-2 * 2 + 3m * 2) = 8 + 2m (-4 + 6m) = 8 + 2m Solving -4 + 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. -4 + 6m + -2m = 8 + 2m + -2m Combine like terms: 6m + -2m = 4m -4 + 4m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + 4m = 8 + 0 -4 + 4m = 8 Add '4' to each side of the equation. -4 + 4 + 4m = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4m = 8 + 4 4m = 8 + 4 Combine like terms: 8 + 4 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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