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Simplifying 4m + 5 = 7m + -4 Reorder the terms: 5 + 4m = 7m + -4 Reorder the terms: 5 + 4m = -4 + 7m Solving 5 + 4m = -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. 5 + 4m + -7m = -4 + 7m + -7m Combine like terms: 4m + -7m = -3m 5 + -3m = -4 + 7m + -7m Combine like terms: 7m + -7m = 0 5 + -3m = -4 + 0 5 + -3m = -4 Add '-5' to each side of the equation. 5 + -5 + -3m = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = -4 + -5 -3m = -4 + -5 Combine like terms: -4 + -5 = -9 -3m = -9 Divide each side by '-3'. m = 3 Simplifying m = 3
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