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Simplifying 5(n + 6) = 8 + 6n Reorder the terms: 5(6 + n) = 8 + 6n (6 * 5 + n * 5) = 8 + 6n (30 + 5n) = 8 + 6n Solving 30 + 5n = 8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 30 + 5n + -6n = 8 + 6n + -6n Combine like terms: 5n + -6n = -1n 30 + -1n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 30 + -1n = 8 + 0 30 + -1n = 8 Add '-30' to each side of the equation. 30 + -30 + -1n = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -1n = 8 + -30 -1n = 8 + -30 Combine like terms: 8 + -30 = -22 -1n = -22 Divide each side by '-1'. n = 22 Simplifying n = 22
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