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Simplifying -6m + 29 + -2(m + -4) = 5m + -1(3m + -6) + -4m + 1 Reorder the terms: -6m + 29 + -2(-4 + m) = 5m + -1(3m + -6) + -4m + 1 -6m + 29 + (-4 * -2 + m * -2) = 5m + -1(3m + -6) + -4m + 1 -6m + 29 + (8 + -2m) = 5m + -1(3m + -6) + -4m + 1 Reorder the terms: 29 + 8 + -6m + -2m = 5m + -1(3m + -6) + -4m + 1 Combine like terms: 29 + 8 = 37 37 + -6m + -2m = 5m + -1(3m + -6) + -4m + 1 Combine like terms: -6m + -2m = -8m 37 + -8m = 5m + -1(3m + -6) + -4m + 1 Reorder the terms: 37 + -8m = 5m + -1(-6 + 3m) + -4m + 1 37 + -8m = 5m + (-6 * -1 + 3m * -1) + -4m + 1 37 + -8m = 5m + (6 + -3m) + -4m + 1 Reorder the terms: 37 + -8m = 6 + 1 + 5m + -3m + -4m Combine like terms: 6 + 1 = 7 37 + -8m = 7 + 5m + -3m + -4m Combine like terms: 5m + -3m = 2m 37 + -8m = 7 + 2m + -4m Combine like terms: 2m + -4m = -2m 37 + -8m = 7 + -2m Solving 37 + -8m = 7 + -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. 37 + -8m + 2m = 7 + -2m + 2m Combine like terms: -8m + 2m = -6m 37 + -6m = 7 + -2m + 2m Combine like terms: -2m + 2m = 0 37 + -6m = 7 + 0 37 + -6m = 7 Add '-37' to each side of the equation. 37 + -37 + -6m = 7 + -37 Combine like terms: 37 + -37 = 0 0 + -6m = 7 + -37 -6m = 7 + -37 Combine like terms: 7 + -37 = -30 -6m = -30 Divide each side by '-6'. m = 5 Simplifying m = 5
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