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Simplifying 14m + -10 + 1 = 9m + 5 + -2m Reorder the terms: -10 + 1 + 14m = 9m + 5 + -2m Combine like terms: -10 + 1 = -9 -9 + 14m = 9m + 5 + -2m Reorder the terms: -9 + 14m = 5 + 9m + -2m Combine like terms: 9m + -2m = 7m -9 + 14m = 5 + 7m Solving -9 + 14m = 5 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -9 + 14m + -7m = 5 + 7m + -7m Combine like terms: 14m + -7m = 7m -9 + 7m = 5 + 7m + -7m Combine like terms: 7m + -7m = 0 -9 + 7m = 5 + 0 -9 + 7m = 5 Add '9' to each side of the equation. -9 + 9 + 7m = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 7m = 5 + 9 7m = 5 + 9 Combine like terms: 5 + 9 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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