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Simplifying -8m + 10 + -3(m + -1) = 2m + -1(4m + -3) + -6m + 4 Reorder the terms: -8m + 10 + -3(-1 + m) = 2m + -1(4m + -3) + -6m + 4 -8m + 10 + (-1 * -3 + m * -3) = 2m + -1(4m + -3) + -6m + 4 -8m + 10 + (3 + -3m) = 2m + -1(4m + -3) + -6m + 4 Reorder the terms: 10 + 3 + -8m + -3m = 2m + -1(4m + -3) + -6m + 4 Combine like terms: 10 + 3 = 13 13 + -8m + -3m = 2m + -1(4m + -3) + -6m + 4 Combine like terms: -8m + -3m = -11m 13 + -11m = 2m + -1(4m + -3) + -6m + 4 Reorder the terms: 13 + -11m = 2m + -1(-3 + 4m) + -6m + 4 13 + -11m = 2m + (-3 * -1 + 4m * -1) + -6m + 4 13 + -11m = 2m + (3 + -4m) + -6m + 4 Reorder the terms: 13 + -11m = 3 + 4 + 2m + -4m + -6m Combine like terms: 3 + 4 = 7 13 + -11m = 7 + 2m + -4m + -6m Combine like terms: 2m + -4m = -2m 13 + -11m = 7 + -2m + -6m Combine like terms: -2m + -6m = -8m 13 + -11m = 7 + -8m Solving 13 + -11m = 7 + -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 + -11m + 8m = 7 + -8m + 8m Combine like terms: -11m + 8m = -3m 13 + -3m = 7 + -8m + 8m Combine like terms: -8m + 8m = 0 13 + -3m = 7 + 0 13 + -3m = 7 Add '-13' to each side of the equation. 13 + -13 + -3m = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -3m = 7 + -13 -3m = 7 + -13 Combine like terms: 7 + -13 = -6 -3m = -6 Divide each side by '-3'. m = 2 Simplifying m = 2
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