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Simplifying m + 16 + -2m + 3m = 4m + -14 + 16 Reorder the terms: 16 + m + -2m + 3m = 4m + -14 + 16 Combine like terms: m + -2m = -1m 16 + -1m + 3m = 4m + -14 + 16 Combine like terms: -1m + 3m = 2m 16 + 2m = 4m + -14 + 16 Reorder the terms: 16 + 2m = -14 + 16 + 4m Combine like terms: -14 + 16 = 2 16 + 2m = 2 + 4m Solving 16 + 2m = 2 + 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. 16 + 2m + -4m = 2 + 4m + -4m Combine like terms: 2m + -4m = -2m 16 + -2m = 2 + 4m + -4m Combine like terms: 4m + -4m = 0 16 + -2m = 2 + 0 16 + -2m = 2 Add '-16' to each side of the equation. 16 + -16 + -2m = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -2m = 2 + -16 -2m = 2 + -16 Combine like terms: 2 + -16 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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