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Simplifying 15 + 8m = 45 + 6m Solving 15 + 8m = 45 + 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. 15 + 8m + -6m = 45 + 6m + -6m Combine like terms: 8m + -6m = 2m 15 + 2m = 45 + 6m + -6m Combine like terms: 6m + -6m = 0 15 + 2m = 45 + 0 15 + 2m = 45 Add '-15' to each side of the equation. 15 + -15 + 2m = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 2m = 45 + -15 2m = 45 + -15 Combine like terms: 45 + -15 = 30 2m = 30 Divide each side by '2'. m = 15 Simplifying m = 15
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