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Simplifying 2(4 + -3n) = 5(n + 6) (4 * 2 + -3n * 2) = 5(n + 6) (8 + -6n) = 5(n + 6) Reorder the terms: 8 + -6n = 5(6 + n) 8 + -6n = (6 * 5 + n * 5) 8 + -6n = (30 + 5n) Solving 8 + -6n = 30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 8 + -6n + -5n = 30 + 5n + -5n Combine like terms: -6n + -5n = -11n 8 + -11n = 30 + 5n + -5n Combine like terms: 5n + -5n = 0 8 + -11n = 30 + 0 8 + -11n = 30 Add '-8' to each side of the equation. 8 + -8 + -11n = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -11n = 30 + -8 -11n = 30 + -8 Combine like terms: 30 + -8 = 22 -11n = 22 Divide each side by '-11'. n = -2 Simplifying n = -2
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