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Simplifying 4m + 1 = 5m + -7 Reorder the terms: 1 + 4m = 5m + -7 Reorder the terms: 1 + 4m = -7 + 5m Solving 1 + 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. 1 + 4m + -5m = -7 + 5m + -5m Combine like terms: 4m + -5m = -1m 1 + -1m = -7 + 5m + -5m Combine like terms: 5m + -5m = 0 1 + -1m = -7 + 0 1 + -1m = -7 Add '-1' to each side of the equation. 1 + -1 + -1m = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = -7 + -1 -1m = -7 + -1 Combine like terms: -7 + -1 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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