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Simplifying 84 = -1n + 5(2n + 6) Reorder the terms: 84 = -1n + 5(6 + 2n) 84 = -1n + (6 * 5 + 2n * 5) 84 = -1n + (30 + 10n) Reorder the terms: 84 = 30 + -1n + 10n Combine like terms: -1n + 10n = 9n 84 = 30 + 9n Solving 84 = 30 + 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. 84 + -9n = 30 + 9n + -9n Combine like terms: 9n + -9n = 0 84 + -9n = 30 + 0 84 + -9n = 30 Add '-84' to each side of the equation. 84 + -84 + -9n = 30 + -84 Combine like terms: 84 + -84 = 0 0 + -9n = 30 + -84 -9n = 30 + -84 Combine like terms: 30 + -84 = -54 -9n = -54 Divide each side by '-9'. n = 6 Simplifying n = 6
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