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Simplifying -15 + 5m + -6m = 7 + 5m + 8 Combine like terms: 5m + -6m = -1m -15 + -1m = 7 + 5m + 8 Reorder the terms: -15 + -1m = 7 + 8 + 5m Combine like terms: 7 + 8 = 15 -15 + -1m = 15 + 5m Solving -15 + -1m = 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. -15 + -1m + -5m = 15 + 5m + -5m Combine like terms: -1m + -5m = -6m -15 + -6m = 15 + 5m + -5m Combine like terms: 5m + -5m = 0 -15 + -6m = 15 + 0 -15 + -6m = 15 Add '15' to each side of the equation. -15 + 15 + -6m = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -6m = 15 + 15 -6m = 15 + 15 Combine like terms: 15 + 15 = 30 -6m = 30 Divide each side by '-6'. m = -5 Simplifying m = -5
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