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Simplifying 5m + 3 = 2m + 33 Reorder the terms: 3 + 5m = 2m + 33 Reorder the terms: 3 + 5m = 33 + 2m Solving 3 + 5m = 33 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3 + 5m + -2m = 33 + 2m + -2m Combine like terms: 5m + -2m = 3m 3 + 3m = 33 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 3m = 33 + 0 3 + 3m = 33 Add '-3' to each side of the equation. 3 + -3 + 3m = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 3m = 33 + -3 3m = 33 + -3 Combine like terms: 33 + -3 = 30 3m = 30 Divide each side by '3'. m = 10 Simplifying m = 10
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