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Simplifying 2m + 14 = 3m + -7 + 6m Reorder the terms: 14 + 2m = 3m + -7 + 6m Reorder the terms: 14 + 2m = -7 + 3m + 6m Combine like terms: 3m + 6m = 9m 14 + 2m = -7 + 9m Solving 14 + 2m = -7 + 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. 14 + 2m + -9m = -7 + 9m + -9m Combine like terms: 2m + -9m = -7m 14 + -7m = -7 + 9m + -9m Combine like terms: 9m + -9m = 0 14 + -7m = -7 + 0 14 + -7m = -7 Add '-14' to each side of the equation. 14 + -14 + -7m = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -7m = -7 + -14 -7m = -7 + -14 Combine like terms: -7 + -14 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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