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Simplifying -3m + 29 + -8(m + -1) = 6m + -1(2m + -4) + -5m + 3 Reorder the terms: -3m + 29 + -8(-1 + m) = 6m + -1(2m + -4) + -5m + 3 -3m + 29 + (-1 * -8 + m * -8) = 6m + -1(2m + -4) + -5m + 3 -3m + 29 + (8 + -8m) = 6m + -1(2m + -4) + -5m + 3 Reorder the terms: 29 + 8 + -3m + -8m = 6m + -1(2m + -4) + -5m + 3 Combine like terms: 29 + 8 = 37 37 + -3m + -8m = 6m + -1(2m + -4) + -5m + 3 Combine like terms: -3m + -8m = -11m 37 + -11m = 6m + -1(2m + -4) + -5m + 3 Reorder the terms: 37 + -11m = 6m + -1(-4 + 2m) + -5m + 3 37 + -11m = 6m + (-4 * -1 + 2m * -1) + -5m + 3 37 + -11m = 6m + (4 + -2m) + -5m + 3 Reorder the terms: 37 + -11m = 4 + 3 + 6m + -2m + -5m Combine like terms: 4 + 3 = 7 37 + -11m = 7 + 6m + -2m + -5m Combine like terms: 6m + -2m = 4m 37 + -11m = 7 + 4m + -5m Combine like terms: 4m + -5m = -1m 37 + -11m = 7 + -1m Solving 37 + -11m = 7 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 37 + -11m + m = 7 + -1m + m Combine like terms: -11m + m = -10m 37 + -10m = 7 + -1m + m Combine like terms: -1m + m = 0 37 + -10m = 7 + 0 37 + -10m = 7 Add '-37' to each side of the equation. 37 + -37 + -10m = 7 + -37 Combine like terms: 37 + -37 = 0 0 + -10m = 7 + -37 -10m = 7 + -37 Combine like terms: 7 + -37 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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