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Simplifying -11(6n + 4) = 5n + 9(n + 4) Reorder the terms: -11(4 + 6n) = 5n + 9(n + 4) (4 * -11 + 6n * -11) = 5n + 9(n + 4) (-44 + -66n) = 5n + 9(n + 4) Reorder the terms: -44 + -66n = 5n + 9(4 + n) -44 + -66n = 5n + (4 * 9 + n * 9) -44 + -66n = 5n + (36 + 9n) Reorder the terms: -44 + -66n = 36 + 5n + 9n Combine like terms: 5n + 9n = 14n -44 + -66n = 36 + 14n Solving -44 + -66n = 36 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -44 + -66n + -14n = 36 + 14n + -14n Combine like terms: -66n + -14n = -80n -44 + -80n = 36 + 14n + -14n Combine like terms: 14n + -14n = 0 -44 + -80n = 36 + 0 -44 + -80n = 36 Add '44' to each side of the equation. -44 + 44 + -80n = 36 + 44 Combine like terms: -44 + 44 = 0 0 + -80n = 36 + 44 -80n = 36 + 44 Combine like terms: 36 + 44 = 80 -80n = 80 Divide each side by '-80'. n = -1 Simplifying n = -1
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