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Simplifying 84 = 6(n + 8) Reorder the terms: 84 = 6(8 + n) 84 = (8 * 6 + n * 6) 84 = (48 + 6n) Solving 84 = 48 + 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. 84 + -6n = 48 + 6n + -6n Combine like terms: 6n + -6n = 0 84 + -6n = 48 + 0 84 + -6n = 48 Add '-84' to each side of the equation. 84 + -84 + -6n = 48 + -84 Combine like terms: 84 + -84 = 0 0 + -6n = 48 + -84 -6n = 48 + -84 Combine like terms: 48 + -84 = -36 -6n = -36 Divide each side by '-6'. n = 6 Simplifying n = 6
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