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