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Simplifying 90 = 2(3n + 6) + 7n Reorder the terms: 90 = 2(6 + 3n) + 7n 90 = (6 * 2 + 3n * 2) + 7n 90 = (12 + 6n) + 7n Combine like terms: 6n + 7n = 13n 90 = 12 + 13n Solving 90 = 12 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 90 + -13n = 12 + 13n + -13n Combine like terms: 13n + -13n = 0 90 + -13n = 12 + 0 90 + -13n = 12 Add '-90' to each side of the equation. 90 + -90 + -13n = 12 + -90 Combine like terms: 90 + -90 = 0 0 + -13n = 12 + -90 -13n = 12 + -90 Combine like terms: 12 + -90 = -78 -13n = -78 Divide each side by '-13'. n = 6 Simplifying n = 6
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