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Simplifying -3m + 5 + 6m = 1 + 5m + 3 Reorder the terms: 5 + -3m + 6m = 1 + 5m + 3 Combine like terms: -3m + 6m = 3m 5 + 3m = 1 + 5m + 3 Reorder the terms: 5 + 3m = 1 + 3 + 5m Combine like terms: 1 + 3 = 4 5 + 3m = 4 + 5m Solving 5 + 3m = 4 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 5 + 3m + -5m = 4 + 5m + -5m Combine like terms: 3m + -5m = -2m 5 + -2m = 4 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + -2m = 4 + 0 5 + -2m = 4 Add '-5' to each side of the equation. 5 + -5 + -2m = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 4 + -5 -2m = 4 + -5 Combine like terms: 4 + -5 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5
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