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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 = 68m -2 + 10m = 20 + 68m Solving -2 + 10m = 20 + 68m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-68m' to each side of the equation. -2 + 10m + -68m = 20 + 68m + -68m Combine like terms: 10m + -68m = -58m -2 + -58m = 20 + 68m + -68m Combine like terms: 68m + -68m = 0 -2 + -58m = 20 + 0 -2 + -58m = 20 Add '2' to each side of the equation. -2 + 2 + -58m = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -58m = 20 + 2 -58m = 20 + 2 Combine like terms: 20 + 2 = 22 -58m = 22 Divide each side by '-58'. m = -0.3793103448 Simplifying m = -0.3793103448
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