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Simplifying 3 + 2m + 3m + 4 + 5 = 5m + 6m Reorder the terms: 3 + 4 + 5 + 2m + 3m = 5m + 6m Combine like terms: 3 + 4 = 7 7 + 5 + 2m + 3m = 5m + 6m Combine like terms: 7 + 5 = 12 12 + 2m + 3m = 5m + 6m Combine like terms: 2m + 3m = 5m 12 + 5m = 5m + 6m Combine like terms: 5m + 6m = 11m 12 + 5m = 11m Solving 12 + 5m = 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 12 + 5m + -11m = 11m + -11m Combine like terms: 5m + -11m = -6m 12 + -6m = 11m + -11m Combine like terms: 11m + -11m = 0 12 + -6m = 0 Add '-12' to each side of the equation. 12 + -12 + -6m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = 0 + -12 -6m = 0 + -12 Combine like terms: 0 + -12 = -12 -6m = -12 Divide each side by '-6'. m = 2 Simplifying m = 2
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