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Simplifying 10 + -1(4m + -3) = 6m + -1(1 + -2m) Reorder the terms: 10 + -1(-3 + 4m) = 6m + -1(1 + -2m) 10 + (-3 * -1 + 4m * -1) = 6m + -1(1 + -2m) 10 + (3 + -4m) = 6m + -1(1 + -2m) Combine like terms: 10 + 3 = 13 13 + -4m = 6m + -1(1 + -2m) 13 + -4m = 6m + (1 * -1 + -2m * -1) 13 + -4m = 6m + (-1 + 2m) Reorder the terms: 13 + -4m = -1 + 6m + 2m Combine like terms: 6m + 2m = 8m 13 + -4m = -1 + 8m Solving 13 + -4m = -1 + 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. 13 + -4m + -8m = -1 + 8m + -8m Combine like terms: -4m + -8m = -12m 13 + -12m = -1 + 8m + -8m Combine like terms: 8m + -8m = 0 13 + -12m = -1 + 0 13 + -12m = -1 Add '-13' to each side of the equation. 13 + -13 + -12m = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -12m = -1 + -13 -12m = -1 + -13 Combine like terms: -1 + -13 = -14 -12m = -14 Divide each side by '-12'. m = 1.166666667 Simplifying m = 1.166666667
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