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Simplifying 2m + 41 = 7m + -4 Reorder the terms: 41 + 2m = 7m + -4 Reorder the terms: 41 + 2m = -4 + 7m Solving 41 + 2m = -4 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 41 + 2m + -7m = -4 + 7m + -7m Combine like terms: 2m + -7m = -5m 41 + -5m = -4 + 7m + -7m Combine like terms: 7m + -7m = 0 41 + -5m = -4 + 0 41 + -5m = -4 Add '-41' to each side of the equation. 41 + -41 + -5m = -4 + -41 Combine like terms: 41 + -41 = 0 0 + -5m = -4 + -41 -5m = -4 + -41 Combine like terms: -4 + -41 = -45 -5m = -45 Divide each side by '-5'. m = 9 Simplifying m = 9
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