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Simplifying 4(n + 6) + 6n = 21 + n Reorder the terms: 4(6 + n) + 6n = 21 + n (6 * 4 + n * 4) + 6n = 21 + n (24 + 4n) + 6n = 21 + n Combine like terms: 4n + 6n = 10n 24 + 10n = 21 + n Solving 24 + 10n = 21 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + 10n + -1n = 21 + n + -1n Combine like terms: 10n + -1n = 9n 24 + 9n = 21 + n + -1n Combine like terms: n + -1n = 0 24 + 9n = 21 + 0 24 + 9n = 21 Add '-24' to each side of the equation. 24 + -24 + 9n = 21 + -24 Combine like terms: 24 + -24 = 0 0 + 9n = 21 + -24 9n = 21 + -24 Combine like terms: 21 + -24 = -3 9n = -3 Divide each side by '9'. n = -0.3333333333 Simplifying n = -0.3333333333
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