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Simplifying 16m + 45 + 12m = 20m + 12 + 9m Reorder the terms: 45 + 16m + 12m = 20m + 12 + 9m Combine like terms: 16m + 12m = 28m 45 + 28m = 20m + 12 + 9m Reorder the terms: 45 + 28m = 12 + 20m + 9m Combine like terms: 20m + 9m = 29m 45 + 28m = 12 + 29m Solving 45 + 28m = 12 + 29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29m' to each side of the equation. 45 + 28m + -29m = 12 + 29m + -29m Combine like terms: 28m + -29m = -1m 45 + -1m = 12 + 29m + -29m Combine like terms: 29m + -29m = 0 45 + -1m = 12 + 0 45 + -1m = 12 Add '-45' to each side of the equation. 45 + -45 + -1m = 12 + -45 Combine like terms: 45 + -45 = 0 0 + -1m = 12 + -45 -1m = 12 + -45 Combine like terms: 12 + -45 = -33 -1m = -33 Divide each side by '-1'. m = 33 Simplifying m = 33
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