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Simplifying 4 + 2m + -3 = 6m + 5 + -3m Reorder the terms: 4 + -3 + 2m = 6m + 5 + -3m Combine like terms: 4 + -3 = 1 1 + 2m = 6m + 5 + -3m Reorder the terms: 1 + 2m = 5 + 6m + -3m Combine like terms: 6m + -3m = 3m 1 + 2m = 5 + 3m Solving 1 + 2m = 5 + 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. 1 + 2m + -3m = 5 + 3m + -3m Combine like terms: 2m + -3m = -1m 1 + -1m = 5 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + -1m = 5 + 0 1 + -1m = 5 Add '-1' to each side of the equation. 1 + -1 + -1m = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 5 + -1 -1m = 5 + -1 Combine like terms: 5 + -1 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4
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