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Simplifying 84 = 2n + 4(4n + 3) Reorder the terms: 84 = 2n + 4(3 + 4n) 84 = 2n + (3 * 4 + 4n * 4) 84 = 2n + (12 + 16n) Reorder the terms: 84 = 12 + 2n + 16n Combine like terms: 2n + 16n = 18n 84 = 12 + 18n Solving 84 = 12 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 84 + -18n = 12 + 18n + -18n Combine like terms: 18n + -18n = 0 84 + -18n = 12 + 0 84 + -18n = 12 Add '-84' to each side of the equation. 84 + -84 + -18n = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -18n = 12 + -84 -18n = 12 + -84 Combine like terms: 12 + -84 = -72 -18n = -72 Divide each side by '-18'. n = 4 Simplifying n = 4
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