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Simplifying 8(2n + 9) = 6n + 2 Reorder the terms: 8(9 + 2n) = 6n + 2 (9 * 8 + 2n * 8) = 6n + 2 (72 + 16n) = 6n + 2 Reorder the terms: 72 + 16n = 2 + 6n Solving 72 + 16n = 2 + 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. 72 + 16n + -6n = 2 + 6n + -6n Combine like terms: 16n + -6n = 10n 72 + 10n = 2 + 6n + -6n Combine like terms: 6n + -6n = 0 72 + 10n = 2 + 0 72 + 10n = 2 Add '-72' to each side of the equation. 72 + -72 + 10n = 2 + -72 Combine like terms: 72 + -72 = 0 0 + 10n = 2 + -72 10n = 2 + -72 Combine like terms: 2 + -72 = -70 10n = -70 Divide each side by '10'. n = -7 Simplifying n = -7
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