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Simplifying -4m + 6 = 9m + 31 Reorder the terms: 6 + -4m = 9m + 31 Reorder the terms: 6 + -4m = 31 + 9m Solving 6 + -4m = 31 + 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. 6 + -4m + -9m = 31 + 9m + -9m Combine like terms: -4m + -9m = -13m 6 + -13m = 31 + 9m + -9m Combine like terms: 9m + -9m = 0 6 + -13m = 31 + 0 6 + -13m = 31 Add '-6' to each side of the equation. 6 + -6 + -13m = 31 + -6 Combine like terms: 6 + -6 = 0 0 + -13m = 31 + -6 -13m = 31 + -6 Combine like terms: 31 + -6 = 25 -13m = 25 Divide each side by '-13'. m = -1.923076923 Simplifying m = -1.923076923
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