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