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Simplifying 3(3 + -4n) = 4n + -1(5n + -16) (3 * 3 + -4n * 3) = 4n + -1(5n + -16) (9 + -12n) = 4n + -1(5n + -16) Reorder the terms: 9 + -12n = 4n + -1(-16 + 5n) 9 + -12n = 4n + (-16 * -1 + 5n * -1) 9 + -12n = 4n + (16 + -5n) Reorder the terms: 9 + -12n = 16 + 4n + -5n Combine like terms: 4n + -5n = -1n 9 + -12n = 16 + -1n Solving 9 + -12n = 16 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 9 + -12n + n = 16 + -1n + n Combine like terms: -12n + n = -11n 9 + -11n = 16 + -1n + n Combine like terms: -1n + n = 0 9 + -11n = 16 + 0 9 + -11n = 16 Add '-9' to each side of the equation. 9 + -9 + -11n = 16 + -9 Combine like terms: 9 + -9 = 0 0 + -11n = 16 + -9 -11n = 16 + -9 Combine like terms: 16 + -9 = 7 -11n = 7 Divide each side by '-11'. n = -0.6363636364 Simplifying n = -0.6363636364
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