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Simplifying 6m + 7 + -21 = 24 + 5m + -15 Reorder the terms: 7 + -21 + 6m = 24 + 5m + -15 Combine like terms: 7 + -21 = -14 -14 + 6m = 24 + 5m + -15 Reorder the terms: -14 + 6m = 24 + -15 + 5m Combine like terms: 24 + -15 = 9 -14 + 6m = 9 + 5m Solving -14 + 6m = 9 + 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. -14 + 6m + -5m = 9 + 5m + -5m Combine like terms: 6m + -5m = 1m -14 + 1m = 9 + 5m + -5m Combine like terms: 5m + -5m = 0 -14 + 1m = 9 + 0 -14 + 1m = 9 Add '14' to each side of the equation. -14 + 14 + 1m = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 1m = 9 + 14 1m = 9 + 14 Combine like terms: 9 + 14 = 23 1m = 23 Divide each side by '1'. m = 23 Simplifying m = 23
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