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Simplifying 17 + -4m + 3 = 2 + 3m + -16 Reorder the terms: 17 + 3 + -4m = 2 + 3m + -16 Combine like terms: 17 + 3 = 20 20 + -4m = 2 + 3m + -16 Reorder the terms: 20 + -4m = 2 + -16 + 3m Combine like terms: 2 + -16 = -14 20 + -4m = -14 + 3m Solving 20 + -4m = -14 + 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. 20 + -4m + -3m = -14 + 3m + -3m Combine like terms: -4m + -3m = -7m 20 + -7m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 20 + -7m = -14 + 0 20 + -7m = -14 Add '-20' to each side of the equation. 20 + -20 + -7m = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -7m = -14 + -20 -7m = -14 + -20 Combine like terms: -14 + -20 = -34 -7m = -34 Divide each side by '-7'. m = 4.857142857 Simplifying m = 4.857142857
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