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Simplifying 2(3m + -1) + 4m = 10(2 + -3m) + 38m Reorder the terms: 2(-1 + 3m) + 4m = 10(2 + -3m) + 38m (-1 * 2 + 3m * 2) + 4m = 10(2 + -3m) + 38m (-2 + 6m) + 4m = 10(2 + -3m) + 38m Combine like terms: 6m + 4m = 10m -2 + 10m = 10(2 + -3m) + 38m -2 + 10m = (2 * 10 + -3m * 10) + 38m -2 + 10m = (20 + -30m) + 38m Combine like terms: -30m + 38m = 8m -2 + 10m = 20 + 8m Solving -2 + 10m = 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. -2 + 10m + -8m = 20 + 8m + -8m Combine like terms: 10m + -8m = 2m -2 + 2m = 20 + 8m + -8m Combine like terms: 8m + -8m = 0 -2 + 2m = 20 + 0 -2 + 2m = 20 Add '2' to each side of the equation. -2 + 2 + 2m = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 2m = 20 + 2 2m = 20 + 2 Combine like terms: 20 + 2 = 22 2m = 22 Divide each side by '2'. m = 11 Simplifying m = 11
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