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Simplifying 3(7 + -2m) + 3 = -9 + 5m (7 * 3 + -2m * 3) + 3 = -9 + 5m (21 + -6m) + 3 = -9 + 5m Reorder the terms: 21 + 3 + -6m = -9 + 5m Combine like terms: 21 + 3 = 24 24 + -6m = -9 + 5m Solving 24 + -6m = -9 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 24 + -6m + -5m = -9 + 5m + -5m Combine like terms: -6m + -5m = -11m 24 + -11m = -9 + 5m + -5m Combine like terms: 5m + -5m = 0 24 + -11m = -9 + 0 24 + -11m = -9 Add '-24' to each side of the equation. 24 + -24 + -11m = -9 + -24 Combine like terms: 24 + -24 = 0 0 + -11m = -9 + -24 -11m = -9 + -24 Combine like terms: -9 + -24 = -33 -11m = -33 Divide each side by '-11'. m = 3 Simplifying m = 3
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