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Simplifying 6m + 5 = 3m + 9m + -2m + 33 Reorder the terms: 5 + 6m = 3m + 9m + -2m + 33 Reorder the terms: 5 + 6m = 33 + 3m + 9m + -2m Combine like terms: 3m + 9m = 12m 5 + 6m = 33 + 12m + -2m Combine like terms: 12m + -2m = 10m 5 + 6m = 33 + 10m Solving 5 + 6m = 33 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 5 + 6m + -10m = 33 + 10m + -10m Combine like terms: 6m + -10m = -4m 5 + -4m = 33 + 10m + -10m Combine like terms: 10m + -10m = 0 5 + -4m = 33 + 0 5 + -4m = 33 Add '-5' to each side of the equation. 5 + -5 + -4m = 33 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 33 + -5 -4m = 33 + -5 Combine like terms: 33 + -5 = 28 -4m = 28 Divide each side by '-4'. m = -7 Simplifying m = -7
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