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Simplifying -18 + n = 6n + 6(8 + n) -18 + n = 6n + (8 * 6 + n * 6) -18 + n = 6n + (48 + 6n) Reorder the terms: -18 + n = 48 + 6n + 6n Combine like terms: 6n + 6n = 12n -18 + n = 48 + 12n Solving -18 + n = 48 + 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. -18 + n + -12n = 48 + 12n + -12n Combine like terms: n + -12n = -11n -18 + -11n = 48 + 12n + -12n Combine like terms: 12n + -12n = 0 -18 + -11n = 48 + 0 -18 + -11n = 48 Add '18' to each side of the equation. -18 + 18 + -11n = 48 + 18 Combine like terms: -18 + 18 = 0 0 + -11n = 48 + 18 -11n = 48 + 18 Combine like terms: 48 + 18 = 66 -11n = 66 Divide each side by '-11'. n = -6 Simplifying n = -6
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