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Simplifying 12n + 16 = 9(n + -8) Reorder the terms: 16 + 12n = 9(n + -8) Reorder the terms: 16 + 12n = 9(-8 + n) 16 + 12n = (-8 * 9 + n * 9) 16 + 12n = (-72 + 9n) Solving 16 + 12n = -72 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 16 + 12n + -9n = -72 + 9n + -9n Combine like terms: 12n + -9n = 3n 16 + 3n = -72 + 9n + -9n Combine like terms: 9n + -9n = 0 16 + 3n = -72 + 0 16 + 3n = -72 Add '-16' to each side of the equation. 16 + -16 + 3n = -72 + -16 Combine like terms: 16 + -16 = 0 0 + 3n = -72 + -16 3n = -72 + -16 Combine like terms: -72 + -16 = -88 3n = -88 Divide each side by '3'. n = -29.33333333 Simplifying n = -29.33333333
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