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Simplifying -90 = -3(4n + 8) + n Reorder the terms: -90 = -3(8 + 4n) + n -90 = (8 * -3 + 4n * -3) + n -90 = (-24 + -12n) + n Combine like terms: -12n + n = -11n -90 = -24 + -11n Solving -90 = -24 + -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. -90 + 11n = -24 + -11n + 11n Combine like terms: -11n + 11n = 0 -90 + 11n = -24 + 0 -90 + 11n = -24 Add '90' to each side of the equation. -90 + 90 + 11n = -24 + 90 Combine like terms: -90 + 90 = 0 0 + 11n = -24 + 90 11n = -24 + 90 Combine like terms: -24 + 90 = 66 11n = 66 Divide each side by '11'. n = 6 Simplifying n = 6
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