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Simplifying 12 + -4m + 6 = 5 + 3m + -13 Reorder the terms: 12 + 6 + -4m = 5 + 3m + -13 Combine like terms: 12 + 6 = 18 18 + -4m = 5 + 3m + -13 Reorder the terms: 18 + -4m = 5 + -13 + 3m Combine like terms: 5 + -13 = -8 18 + -4m = -8 + 3m Solving 18 + -4m = -8 + 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. 18 + -4m + -3m = -8 + 3m + -3m Combine like terms: -4m + -3m = -7m 18 + -7m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 18 + -7m = -8 + 0 18 + -7m = -8 Add '-18' to each side of the equation. 18 + -18 + -7m = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -7m = -8 + -18 -7m = -8 + -18 Combine like terms: -8 + -18 = -26 -7m = -26 Divide each side by '-7'. m = 3.714285714 Simplifying m = 3.714285714
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