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Simplifying 5m + 12 = 9m + 16 Reorder the terms: 12 + 5m = 9m + 16 Reorder the terms: 12 + 5m = 16 + 9m Solving 12 + 5m = 16 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 12 + 5m + -9m = 16 + 9m + -9m Combine like terms: 5m + -9m = -4m 12 + -4m = 16 + 9m + -9m Combine like terms: 9m + -9m = 0 12 + -4m = 16 + 0 12 + -4m = 16 Add '-12' to each side of the equation. 12 + -12 + -4m = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -4m = 16 + -12 -4m = 16 + -12 Combine like terms: 16 + -12 = 4 -4m = 4 Divide each side by '-4'. m = -1 Simplifying m = -1
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