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Simplifying 15 = -1(11n + -4) + 14(4n + 4) Reorder the terms: 15 = -1(-4 + 11n) + 14(4n + 4) 15 = (-4 * -1 + 11n * -1) + 14(4n + 4) 15 = (4 + -11n) + 14(4n + 4) Reorder the terms: 15 = 4 + -11n + 14(4 + 4n) 15 = 4 + -11n + (4 * 14 + 4n * 14) 15 = 4 + -11n + (56 + 56n) Reorder the terms: 15 = 4 + 56 + -11n + 56n Combine like terms: 4 + 56 = 60 15 = 60 + -11n + 56n Combine like terms: -11n + 56n = 45n 15 = 60 + 45n Solving 15 = 60 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 15 + -45n = 60 + 45n + -45n Combine like terms: 45n + -45n = 0 15 + -45n = 60 + 0 15 + -45n = 60 Add '-15' to each side of the equation. 15 + -15 + -45n = 60 + -15 Combine like terms: 15 + -15 = 0 0 + -45n = 60 + -15 -45n = 60 + -15 Combine like terms: 60 + -15 = 45 -45n = 45 Divide each side by '-45'. n = -1 Simplifying n = -1
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