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Simplifying -11n + -52 = 3(n + 6) Reorder the terms: -52 + -11n = 3(n + 6) Reorder the terms: -52 + -11n = 3(6 + n) -52 + -11n = (6 * 3 + n * 3) -52 + -11n = (18 + 3n) Solving -52 + -11n = 18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -52 + -11n + -3n = 18 + 3n + -3n Combine like terms: -11n + -3n = -14n -52 + -14n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 -52 + -14n = 18 + 0 -52 + -14n = 18 Add '52' to each side of the equation. -52 + 52 + -14n = 18 + 52 Combine like terms: -52 + 52 = 0 0 + -14n = 18 + 52 -14n = 18 + 52 Combine like terms: 18 + 52 = 70 -14n = 70 Divide each side by '-14'. n = -5 Simplifying n = -5
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