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Simplifying 4(n + 6) = 6 + n Reorder the terms: 4(6 + n) = 6 + n (6 * 4 + n * 4) = 6 + n (24 + 4n) = 6 + n Solving 24 + 4n = 6 + 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 + 4n + -1n = 6 + n + -1n Combine like terms: 4n + -1n = 3n 24 + 3n = 6 + n + -1n Combine like terms: n + -1n = 0 24 + 3n = 6 + 0 24 + 3n = 6 Add '-24' to each side of the equation. 24 + -24 + 3n = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 3n = 6 + -24 3n = 6 + -24 Combine like terms: 6 + -24 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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