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Simplifying -3m + 14 = 4m + 7 Reorder the terms: 14 + -3m = 4m + 7 Reorder the terms: 14 + -3m = 7 + 4m Solving 14 + -3m = 7 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 14 + -3m + -4m = 7 + 4m + -4m Combine like terms: -3m + -4m = -7m 14 + -7m = 7 + 4m + -4m Combine like terms: 4m + -4m = 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 = -7 -7m = -7 Divide each side by '-7'. m = 1 Simplifying m = 1
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