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Simplifying 36 + 6n = 6(3 + 4n) 36 + 6n = (3 * 6 + 4n * 6) 36 + 6n = (18 + 24n) Solving 36 + 6n = 18 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 36 + 6n + -24n = 18 + 24n + -24n Combine like terms: 6n + -24n = -18n 36 + -18n = 18 + 24n + -24n Combine like terms: 24n + -24n = 0 36 + -18n = 18 + 0 36 + -18n = 18 Add '-36' to each side of the equation. 36 + -36 + -18n = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -18n = 18 + -36 -18n = 18 + -36 Combine like terms: 18 + -36 = -18 -18n = -18 Divide each side by '-18'. n = 1 Simplifying n = 1
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