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Simplifying (6 + n) * 5 = 9n + -2 Reorder the terms for easier multiplication: 5(6 + n) = 9n + -2 (6 * 5 + n * 5) = 9n + -2 (30 + 5n) = 9n + -2 Reorder the terms: 30 + 5n = -2 + 9n Solving 30 + 5n = -2 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 30 + 5n + -9n = -2 + 9n + -9n Combine like terms: 5n + -9n = -4n 30 + -4n = -2 + 9n + -9n Combine like terms: 9n + -9n = 0 30 + -4n = -2 + 0 30 + -4n = -2 Add '-30' to each side of the equation. 30 + -30 + -4n = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -4n = -2 + -30 -4n = -2 + -30 Combine like terms: -2 + -30 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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