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Simplifying -6 + 6m + 3 = -5m + -78 + -4m Reorder the terms: -6 + 3 + 6m = -5m + -78 + -4m Combine like terms: -6 + 3 = -3 -3 + 6m = -5m + -78 + -4m Reorder the terms: -3 + 6m = -78 + -5m + -4m Combine like terms: -5m + -4m = -9m -3 + 6m = -78 + -9m Solving -3 + 6m = -78 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -3 + 6m + 9m = -78 + -9m + 9m Combine like terms: 6m + 9m = 15m -3 + 15m = -78 + -9m + 9m Combine like terms: -9m + 9m = 0 -3 + 15m = -78 + 0 -3 + 15m = -78 Add '3' to each side of the equation. -3 + 3 + 15m = -78 + 3 Combine like terms: -3 + 3 = 0 0 + 15m = -78 + 3 15m = -78 + 3 Combine like terms: -78 + 3 = -75 15m = -75 Divide each side by '15'. m = -5 Simplifying m = -5
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