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Simplifying 4[6 + -1(1 + 2m)] + 10m = 2(10m + -3) + 8m 4[6 + (1 * -1 + 2m * -1)] + 10m = 2(10m + -3) + 8m 4[6 + (-1 + -2m)] + 10m = 2(10m + -3) + 8m Combine like terms: 6 + -1 = 5 4[5 + -2m] + 10m = 2(10m + -3) + 8m [5 * 4 + -2m * 4] + 10m = 2(10m + -3) + 8m [20 + -8m] + 10m = 2(10m + -3) + 8m Combine like terms: -8m + 10m = 2m 20 + 2m = 2(10m + -3) + 8m Reorder the terms: 20 + 2m = 2(-3 + 10m) + 8m 20 + 2m = (-3 * 2 + 10m * 2) + 8m 20 + 2m = (-6 + 20m) + 8m Combine like terms: 20m + 8m = 28m 20 + 2m = -6 + 28m Solving 20 + 2m = -6 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. 20 + 2m + -28m = -6 + 28m + -28m Combine like terms: 2m + -28m = -26m 20 + -26m = -6 + 28m + -28m Combine like terms: 28m + -28m = 0 20 + -26m = -6 + 0 20 + -26m = -6 Add '-20' to each side of the equation. 20 + -20 + -26m = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -26m = -6 + -20 -26m = -6 + -20 Combine like terms: -6 + -20 = -26 -26m = -26 Divide each side by '-26'. m = 1 Simplifying m = 1
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