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Simplifying 3m + 5 = 4m + -3 Reorder the terms: 5 + 3m = 4m + -3 Reorder the terms: 5 + 3m = -3 + 4m Solving 5 + 3m = -3 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5 + 3m + -4m = -3 + 4m + -4m Combine like terms: 3m + -4m = -1m 5 + -1m = -3 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + -1m = -3 + 0 5 + -1m = -3 Add '-5' to each side of the equation. 5 + -5 + -1m = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = -3 + -5 -1m = -3 + -5 Combine like terms: -3 + -5 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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