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Simplifying 6n + -4(11 + 12n) = -11(6n + 4) 6n + (11 * -4 + 12n * -4) = -11(6n + 4) 6n + (-44 + -48n) = -11(6n + 4) Reorder the terms: -44 + 6n + -48n = -11(6n + 4) Combine like terms: 6n + -48n = -42n -44 + -42n = -11(6n + 4) Reorder the terms: -44 + -42n = -11(4 + 6n) -44 + -42n = (4 * -11 + 6n * -11) -44 + -42n = (-44 + -66n) Add '44' to each side of the equation. -44 + 44 + -42n = -44 + 44 + -66n Combine like terms: -44 + 44 = 0 0 + -42n = -44 + 44 + -66n -42n = -44 + 44 + -66n Combine like terms: -44 + 44 = 0 -42n = 0 + -66n -42n = -66n Solving -42n = -66n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '66n' to each side of the equation. -42n + 66n = -66n + 66n Combine like terms: -42n + 66n = 24n 24n = -66n + 66n Combine like terms: -66n + 66n = 0 24n = 0 Divide each side by '24'. n = 0 Simplifying n = 0
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