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Simplifying -11(n + 3) = 11(3 + -7n) Reorder the terms: -11(3 + n) = 11(3 + -7n) (3 * -11 + n * -11) = 11(3 + -7n) (-33 + -11n) = 11(3 + -7n) -33 + -11n = (3 * 11 + -7n * 11) -33 + -11n = (33 + -77n) Solving -33 + -11n = 33 + -77n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '77n' to each side of the equation. -33 + -11n + 77n = 33 + -77n + 77n Combine like terms: -11n + 77n = 66n -33 + 66n = 33 + -77n + 77n Combine like terms: -77n + 77n = 0 -33 + 66n = 33 + 0 -33 + 66n = 33 Add '33' to each side of the equation. -33 + 33 + 66n = 33 + 33 Combine like terms: -33 + 33 = 0 0 + 66n = 33 + 33 66n = 33 + 33 Combine like terms: 33 + 33 = 66 66n = 66 Divide each side by '66'. n = 1 Simplifying n = 1
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