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Simplifying 7 + 4m + -1 = 9m + 7 + -4m Reorder the terms: 7 + -1 + 4m = 9m + 7 + -4m Combine like terms: 7 + -1 = 6 6 + 4m = 9m + 7 + -4m Reorder the terms: 6 + 4m = 7 + 9m + -4m Combine like terms: 9m + -4m = 5m 6 + 4m = 7 + 5m Solving 6 + 4m = 7 + 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. 6 + 4m + -5m = 7 + 5m + -5m Combine like terms: 4m + -5m = -1m 6 + -1m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 6 + -1m = 7 + 0 6 + -1m = 7 Add '-6' to each side of the equation. 6 + -6 + -1m = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 7 + -6 -1m = 7 + -6 Combine like terms: 7 + -6 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1
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