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Simplifying 3(3m + 3) = 44(5m + -2) + 6 Reorder the terms: 3(3 + 3m) = 44(5m + -2) + 6 (3 * 3 + 3m * 3) = 44(5m + -2) + 6 (9 + 9m) = 44(5m + -2) + 6 Reorder the terms: 9 + 9m = 44(-2 + 5m) + 6 9 + 9m = (-2 * 44 + 5m * 44) + 6 9 + 9m = (-88 + 220m) + 6 Reorder the terms: 9 + 9m = -88 + 6 + 220m Combine like terms: -88 + 6 = -82 9 + 9m = -82 + 220m Solving 9 + 9m = -82 + 220m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-220m' to each side of the equation. 9 + 9m + -220m = -82 + 220m + -220m Combine like terms: 9m + -220m = -211m 9 + -211m = -82 + 220m + -220m Combine like terms: 220m + -220m = 0 9 + -211m = -82 + 0 9 + -211m = -82 Add '-9' to each side of the equation. 9 + -9 + -211m = -82 + -9 Combine like terms: 9 + -9 = 0 0 + -211m = -82 + -9 -211m = -82 + -9 Combine like terms: -82 + -9 = -91 -211m = -91 Divide each side by '-211'. m = 0.4312796209 Simplifying m = 0.4312796209
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