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Simplifying 8m + -10 + -2m = -6m + 10 + 9m Reorder the terms: -10 + 8m + -2m = -6m + 10 + 9m Combine like terms: 8m + -2m = 6m -10 + 6m = -6m + 10 + 9m Reorder the terms: -10 + 6m = 10 + -6m + 9m Combine like terms: -6m + 9m = 3m -10 + 6m = 10 + 3m Solving -10 + 6m = 10 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -10 + 6m + -3m = 10 + 3m + -3m Combine like terms: 6m + -3m = 3m -10 + 3m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 -10 + 3m = 10 + 0 -10 + 3m = 10 Add '10' to each side of the equation. -10 + 10 + 3m = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 3m = 10 + 10 3m = 10 + 10 Combine like terms: 10 + 10 = 20 3m = 20 Divide each side by '3'. m = 6.666666667 Simplifying m = 6.666666667
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