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Simplifying -4(1 + n) + -1 = -11(n + -4) (1 * -4 + n * -4) + -1 = -11(n + -4) (-4 + -4n) + -1 = -11(n + -4) Reorder the terms: -4 + -1 + -4n = -11(n + -4) Combine like terms: -4 + -1 = -5 -5 + -4n = -11(n + -4) Reorder the terms: -5 + -4n = -11(-4 + n) -5 + -4n = (-4 * -11 + n * -11) -5 + -4n = (44 + -11n) Solving -5 + -4n = 44 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -5 + -4n + 11n = 44 + -11n + 11n Combine like terms: -4n + 11n = 7n -5 + 7n = 44 + -11n + 11n Combine like terms: -11n + 11n = 0 -5 + 7n = 44 + 0 -5 + 7n = 44 Add '5' to each side of the equation. -5 + 5 + 7n = 44 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 44 + 5 7n = 44 + 5 Combine like terms: 44 + 5 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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