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Simplifying -9m + 69 + -6m + 12 = 5m + -2m + -7 + -4m + 4 Reorder the terms: 69 + 12 + -9m + -6m = 5m + -2m + -7 + -4m + 4 Combine like terms: 69 + 12 = 81 81 + -9m + -6m = 5m + -2m + -7 + -4m + 4 Combine like terms: -9m + -6m = -15m 81 + -15m = 5m + -2m + -7 + -4m + 4 Reorder the terms: 81 + -15m = -7 + 4 + 5m + -2m + -4m Combine like terms: -7 + 4 = -3 81 + -15m = -3 + 5m + -2m + -4m Combine like terms: 5m + -2m = 3m 81 + -15m = -3 + 3m + -4m Combine like terms: 3m + -4m = -1m 81 + -15m = -3 + -1m Solving 81 + -15m = -3 + -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. 81 + -15m + m = -3 + -1m + m Combine like terms: -15m + m = -14m 81 + -14m = -3 + -1m + m Combine like terms: -1m + m = 0 81 + -14m = -3 + 0 81 + -14m = -3 Add '-81' to each side of the equation. 81 + -81 + -14m = -3 + -81 Combine like terms: 81 + -81 = 0 0 + -14m = -3 + -81 -14m = -3 + -81 Combine like terms: -3 + -81 = -84 -14m = -84 Divide each side by '-14'. m = 6 Simplifying m = 6
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