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