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Simplifying 6n + -4(3n + 9) = 5n + -12 Reorder the terms: 6n + -4(9 + 3n) = 5n + -12 6n + (9 * -4 + 3n * -4) = 5n + -12 6n + (-36 + -12n) = 5n + -12 Reorder the terms: -36 + 6n + -12n = 5n + -12 Combine like terms: 6n + -12n = -6n -36 + -6n = 5n + -12 Reorder the terms: -36 + -6n = -12 + 5n Solving -36 + -6n = -12 + 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. -36 + -6n + -5n = -12 + 5n + -5n Combine like terms: -6n + -5n = -11n -36 + -11n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 -36 + -11n = -12 + 0 -36 + -11n = -12 Add '36' to each side of the equation. -36 + 36 + -11n = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -11n = -12 + 36 -11n = -12 + 36 Combine like terms: -12 + 36 = 24 -11n = 24 Divide each side by '-11'. n = -2.181818182 Simplifying n = -2.181818182
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