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Simplifying -6m + 63 + -8(m + -1) = 5m + -1(2m + -1) + -4m + 5 Reorder the terms: -6m + 63 + -8(-1 + m) = 5m + -1(2m + -1) + -4m + 5 -6m + 63 + (-1 * -8 + m * -8) = 5m + -1(2m + -1) + -4m + 5 -6m + 63 + (8 + -8m) = 5m + -1(2m + -1) + -4m + 5 Reorder the terms: 63 + 8 + -6m + -8m = 5m + -1(2m + -1) + -4m + 5 Combine like terms: 63 + 8 = 71 71 + -6m + -8m = 5m + -1(2m + -1) + -4m + 5 Combine like terms: -6m + -8m = -14m 71 + -14m = 5m + -1(2m + -1) + -4m + 5 Reorder the terms: 71 + -14m = 5m + -1(-1 + 2m) + -4m + 5 71 + -14m = 5m + (-1 * -1 + 2m * -1) + -4m + 5 71 + -14m = 5m + (1 + -2m) + -4m + 5 Reorder the terms: 71 + -14m = 1 + 5 + 5m + -2m + -4m Combine like terms: 1 + 5 = 6 71 + -14m = 6 + 5m + -2m + -4m Combine like terms: 5m + -2m = 3m 71 + -14m = 6 + 3m + -4m Combine like terms: 3m + -4m = -1m 71 + -14m = 6 + -1m Solving 71 + -14m = 6 + -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. 71 + -14m + m = 6 + -1m + m Combine like terms: -14m + m = -13m 71 + -13m = 6 + -1m + m Combine like terms: -1m + m = 0 71 + -13m = 6 + 0 71 + -13m = 6 Add '-71' to each side of the equation. 71 + -71 + -13m = 6 + -71 Combine like terms: 71 + -71 = 0 0 + -13m = 6 + -71 -13m = 6 + -71 Combine like terms: 6 + -71 = -65 -13m = -65 Divide each side by '-13'. m = 5 Simplifying m = 5
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