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Simplifying 90 = 3(4n + 2) Reorder the terms: 90 = 3(2 + 4n) 90 = (2 * 3 + 4n * 3) 90 = (6 + 12n) Solving 90 = 6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 90 + -12n = 6 + 12n + -12n Combine like terms: 12n + -12n = 0 90 + -12n = 6 + 0 90 + -12n = 6 Add '-90' to each side of the equation. 90 + -90 + -12n = 6 + -90 Combine like terms: 90 + -90 = 0 0 + -12n = 6 + -90 -12n = 6 + -90 Combine like terms: 6 + -90 = -84 -12n = -84 Divide each side by '-12'. n = 7 Simplifying n = 7
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