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Simplifying n * 6 + 121 = n * 15 + -5 Reorder the terms for easier multiplication: 6n + 121 = n * 15 + -5 Reorder the terms: 121 + 6n = n * 15 + -5 Reorder the terms for easier multiplication: 121 + 6n = 15n + -5 Reorder the terms: 121 + 6n = -5 + 15n Solving 121 + 6n = -5 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 121 + 6n + -15n = -5 + 15n + -15n Combine like terms: 6n + -15n = -9n 121 + -9n = -5 + 15n + -15n Combine like terms: 15n + -15n = 0 121 + -9n = -5 + 0 121 + -9n = -5 Add '-121' to each side of the equation. 121 + -121 + -9n = -5 + -121 Combine like terms: 121 + -121 = 0 0 + -9n = -5 + -121 -9n = -5 + -121 Combine like terms: -5 + -121 = -126 -9n = -126 Divide each side by '-9'. n = 14 Simplifying n = 14
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