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Simplifying 4(3m + -1) = 2(m + 3) Reorder the terms: 4(-1 + 3m) = 2(m + 3) (-1 * 4 + 3m * 4) = 2(m + 3) (-4 + 12m) = 2(m + 3) Reorder the terms: -4 + 12m = 2(3 + m) -4 + 12m = (3 * 2 + m * 2) -4 + 12m = (6 + 2m) Solving -4 + 12m = 6 + 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 + 12m + -2m = 6 + 2m + -2m Combine like terms: 12m + -2m = 10m -4 + 10m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + 10m = 6 + 0 -4 + 10m = 6 Add '4' to each side of the equation. -4 + 4 + 10m = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10m = 6 + 4 10m = 6 + 4 Combine like terms: 6 + 4 = 10 10m = 10 Divide each side by '10'. m = 1 Simplifying m = 1
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