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Simplifying 3m + 16 = 4m + 7 Reorder the terms: 16 + 3m = 4m + 7 Reorder the terms: 16 + 3m = 7 + 4m Solving 16 + 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. 16 + 3m + -4m = 7 + 4m + -4m Combine like terms: 3m + -4m = -1m 16 + -1m = 7 + 4m + -4m Combine like terms: 4m + -4m = 0 16 + -1m = 7 + 0 16 + -1m = 7 Add '-16' to each side of the equation. 16 + -16 + -1m = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = 7 + -16 -1m = 7 + -16 Combine like terms: 7 + -16 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9
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