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Simplifying 4m + 7 = -3m + 49 Reorder the terms: 7 + 4m = -3m + 49 Reorder the terms: 7 + 4m = 49 + -3m Solving 7 + 4m = 49 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 7 + 4m + 3m = 49 + -3m + 3m Combine like terms: 4m + 3m = 7m 7 + 7m = 49 + -3m + 3m Combine like terms: -3m + 3m = 0 7 + 7m = 49 + 0 7 + 7m = 49 Add '-7' to each side of the equation. 7 + -7 + 7m = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 7m = 49 + -7 7m = 49 + -7 Combine like terms: 49 + -7 = 42 7m = 42 Divide each side by '7'. m = 6 Simplifying m = 6
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