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Simplifying 6(2m + -1) = 4(2m + 5) Reorder the terms: 6(-1 + 2m) = 4(2m + 5) (-1 * 6 + 2m * 6) = 4(2m + 5) (-6 + 12m) = 4(2m + 5) Reorder the terms: -6 + 12m = 4(5 + 2m) -6 + 12m = (5 * 4 + 2m * 4) -6 + 12m = (20 + 8m) Solving -6 + 12m = 20 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -6 + 12m + -8m = 20 + 8m + -8m Combine like terms: 12m + -8m = 4m -6 + 4m = 20 + 8m + -8m Combine like terms: 8m + -8m = 0 -6 + 4m = 20 + 0 -6 + 4m = 20 Add '6' to each side of the equation. -6 + 6 + 4m = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 4m = 20 + 6 4m = 20 + 6 Combine like terms: 20 + 6 = 26 4m = 26 Divide each side by '4'. m = 6.5 Simplifying m = 6.5
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