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Simplifying 4(1m + -3) = 12 + -2m Reorder the terms: 4(-3 + 1m) = 12 + -2m (-3 * 4 + 1m * 4) = 12 + -2m (-12 + 4m) = 12 + -2m Solving -12 + 4m = 12 + -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 + 4m + 2m = 12 + -2m + 2m Combine like terms: 4m + 2m = 6m -12 + 6m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 -12 + 6m = 12 + 0 -12 + 6m = 12 Add '12' to each side of the equation. -12 + 12 + 6m = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6m = 12 + 12 6m = 12 + 12 Combine like terms: 12 + 12 = 24 6m = 24 Divide each side by '6'. m = 4 Simplifying m = 4
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