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Simplifying 18n + -16(-1n + -15) = 12(n + 9) Reorder the terms: 18n + -16(-15 + -1n) = 12(n + 9) 18n + (-15 * -16 + -1n * -16) = 12(n + 9) 18n + (240 + 16n) = 12(n + 9) Reorder the terms: 240 + 18n + 16n = 12(n + 9) Combine like terms: 18n + 16n = 34n 240 + 34n = 12(n + 9) Reorder the terms: 240 + 34n = 12(9 + n) 240 + 34n = (9 * 12 + n * 12) 240 + 34n = (108 + 12n) Solving 240 + 34n = 108 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 240 + 34n + -12n = 108 + 12n + -12n Combine like terms: 34n + -12n = 22n 240 + 22n = 108 + 12n + -12n Combine like terms: 12n + -12n = 0 240 + 22n = 108 + 0 240 + 22n = 108 Add '-240' to each side of the equation. 240 + -240 + 22n = 108 + -240 Combine like terms: 240 + -240 = 0 0 + 22n = 108 + -240 22n = 108 + -240 Combine like terms: 108 + -240 = -132 22n = -132 Divide each side by '22'. n = -6 Simplifying n = -6
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