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Simplifying 3 + 2m = 27 + -6m Solving 3 + 2m = 27 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 3 + 2m + 6m = 27 + -6m + 6m Combine like terms: 2m + 6m = 8m 3 + 8m = 27 + -6m + 6m Combine like terms: -6m + 6m = 0 3 + 8m = 27 + 0 3 + 8m = 27 Add '-3' to each side of the equation. 3 + -3 + 8m = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 8m = 27 + -3 8m = 27 + -3 Combine like terms: 27 + -3 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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