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Simplifying 5m + -5 + 3m = 9 + 6m Reorder the terms: -5 + 5m + 3m = 9 + 6m Combine like terms: 5m + 3m = 8m -5 + 8m = 9 + 6m Solving -5 + 8m = 9 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -5 + 8m + -6m = 9 + 6m + -6m Combine like terms: 8m + -6m = 2m -5 + 2m = 9 + 6m + -6m Combine like terms: 6m + -6m = 0 -5 + 2m = 9 + 0 -5 + 2m = 9 Add '5' to each side of the equation. -5 + 5 + 2m = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2m = 9 + 5 2m = 9 + 5 Combine like terms: 9 + 5 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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