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Simplifying 6 + 7m = 8m + 15 + -3m Reorder the terms: 6 + 7m = 15 + 8m + -3m Combine like terms: 8m + -3m = 5m 6 + 7m = 15 + 5m Solving 6 + 7m = 15 + 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. 6 + 7m + -5m = 15 + 5m + -5m Combine like terms: 7m + -5m = 2m 6 + 2m = 15 + 5m + -5m Combine like terms: 5m + -5m = 0 6 + 2m = 15 + 0 6 + 2m = 15 Add '-6' to each side of the equation. 6 + -6 + 2m = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 2m = 15 + -6 2m = 15 + -6 Combine like terms: 15 + -6 = 9 2m = 9 Divide each side by '2'. m = 4.5 Simplifying m = 4.5
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