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Simplifying 4[6 + -9(1 + 2m)] + 10m = 2(10 + -3m) + 8m 4[6 + (1 * -9 + 2m * -9)] + 10m = 2(10 + -3m) + 8m 4[6 + (-9 + -18m)] + 10m = 2(10 + -3m) + 8m Combine like terms: 6 + -9 = -3 4[-3 + -18m] + 10m = 2(10 + -3m) + 8m [-3 * 4 + -18m * 4] + 10m = 2(10 + -3m) + 8m [-12 + -72m] + 10m = 2(10 + -3m) + 8m Combine like terms: -72m + 10m = -62m -12 + -62m = 2(10 + -3m) + 8m -12 + -62m = (10 * 2 + -3m * 2) + 8m -12 + -62m = (20 + -6m) + 8m Combine like terms: -6m + 8m = 2m -12 + -62m = 20 + 2m Solving -12 + -62m = 20 + 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 + -62m + -2m = 20 + 2m + -2m Combine like terms: -62m + -2m = -64m -12 + -64m = 20 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + -64m = 20 + 0 -12 + -64m = 20 Add '12' to each side of the equation. -12 + 12 + -64m = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -64m = 20 + 12 -64m = 20 + 12 Combine like terms: 20 + 12 = 32 -64m = 32 Divide each side by '-64'. m = -0.5 Simplifying m = -0.5
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