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Simplifying -10x + 5 + 3m + -6 = 9m + 6m + -6 Reorder the terms: 5 + -6 + 3m + -10x = 9m + 6m + -6 Combine like terms: 5 + -6 = -1 -1 + 3m + -10x = 9m + 6m + -6 Reorder the terms: -1 + 3m + -10x = -6 + 9m + 6m Combine like terms: 9m + 6m = 15m -1 + 3m + -10x = -6 + 15m Solving -1 + 3m + -10x = -6 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -1 + 3m + -15m + -10x = -6 + 15m + -15m Combine like terms: 3m + -15m = -12m -1 + -12m + -10x = -6 + 15m + -15m Combine like terms: 15m + -15m = 0 -1 + -12m + -10x = -6 + 0 -1 + -12m + -10x = -6 Add '1' to each side of the equation. -1 + -12m + 1 + -10x = -6 + 1 Reorder the terms: -1 + 1 + -12m + -10x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -12m + -10x = -6 + 1 -12m + -10x = -6 + 1 Combine like terms: -6 + 1 = -5 -12m + -10x = -5 Add '10x' to each side of the equation. -12m + -10x + 10x = -5 + 10x Combine like terms: -10x + 10x = 0 -12m + 0 = -5 + 10x -12m = -5 + 10x Divide each side by '-12'. m = 0.4166666667 + -0.8333333333x Simplifying m = 0.4166666667 + -0.8333333333x
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