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Simplifying -6m + 69 + -9(m + -1) = 4m + -1(2m + -2) + -7m + 6 Reorder the terms: -6m + 69 + -9(-1 + m) = 4m + -1(2m + -2) + -7m + 6 -6m + 69 + (-1 * -9 + m * -9) = 4m + -1(2m + -2) + -7m + 6 -6m + 69 + (9 + -9m) = 4m + -1(2m + -2) + -7m + 6 Reorder the terms: 69 + 9 + -6m + -9m = 4m + -1(2m + -2) + -7m + 6 Combine like terms: 69 + 9 = 78 78 + -6m + -9m = 4m + -1(2m + -2) + -7m + 6 Combine like terms: -6m + -9m = -15m 78 + -15m = 4m + -1(2m + -2) + -7m + 6 Reorder the terms: 78 + -15m = 4m + -1(-2 + 2m) + -7m + 6 78 + -15m = 4m + (-2 * -1 + 2m * -1) + -7m + 6 78 + -15m = 4m + (2 + -2m) + -7m + 6 Reorder the terms: 78 + -15m = 2 + 6 + 4m + -2m + -7m Combine like terms: 2 + 6 = 8 78 + -15m = 8 + 4m + -2m + -7m Combine like terms: 4m + -2m = 2m 78 + -15m = 8 + 2m + -7m Combine like terms: 2m + -7m = -5m 78 + -15m = 8 + -5m Solving 78 + -15m = 8 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 78 + -15m + 5m = 8 + -5m + 5m Combine like terms: -15m + 5m = -10m 78 + -10m = 8 + -5m + 5m Combine like terms: -5m + 5m = 0 78 + -10m = 8 + 0 78 + -10m = 8 Add '-78' to each side of the equation. 78 + -78 + -10m = 8 + -78 Combine like terms: 78 + -78 = 0 0 + -10m = 8 + -78 -10m = 8 + -78 Combine like terms: 8 + -78 = -70 -10m = -70 Divide each side by '-10'. m = 7 Simplifying m = 7
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