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Simplifying -11(n + -11) = -4 + -7(n + -11) Reorder the terms: -11(-11 + n) = -4 + -7(n + -11) (-11 * -11 + n * -11) = -4 + -7(n + -11) (121 + -11n) = -4 + -7(n + -11) Reorder the terms: 121 + -11n = -4 + -7(-11 + n) 121 + -11n = -4 + (-11 * -7 + n * -7) 121 + -11n = -4 + (77 + -7n) Combine like terms: -4 + 77 = 73 121 + -11n = 73 + -7n Solving 121 + -11n = 73 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 121 + -11n + 7n = 73 + -7n + 7n Combine like terms: -11n + 7n = -4n 121 + -4n = 73 + -7n + 7n Combine like terms: -7n + 7n = 0 121 + -4n = 73 + 0 121 + -4n = 73 Add '-121' to each side of the equation. 121 + -121 + -4n = 73 + -121 Combine like terms: 121 + -121 = 0 0 + -4n = 73 + -121 -4n = 73 + -121 Combine like terms: 73 + -121 = -48 -4n = -48 Divide each side by '-4'. n = 12 Simplifying n = 12
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