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Simplifying 36 = 6(1 + n) + -6(7 + -2n) 36 = (1 * 6 + n * 6) + -6(7 + -2n) 36 = (6 + 6n) + -6(7 + -2n) 36 = 6 + 6n + (7 * -6 + -2n * -6) 36 = 6 + 6n + (-42 + 12n) Reorder the terms: 36 = 6 + -42 + 6n + 12n Combine like terms: 6 + -42 = -36 36 = -36 + 6n + 12n Combine like terms: 6n + 12n = 18n 36 = -36 + 18n Solving 36 = -36 + 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. 36 + -18n = -36 + 18n + -18n Combine like terms: 18n + -18n = 0 36 + -18n = -36 + 0 36 + -18n = -36 Add '-36' to each side of the equation. 36 + -36 + -18n = -36 + -36 Combine like terms: 36 + -36 = 0 0 + -18n = -36 + -36 -18n = -36 + -36 Combine like terms: -36 + -36 = -72 -18n = -72 Divide each side by '-18'. n = 4 Simplifying n = 4
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