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Simplifying 18n + -4(5 + -6n) = 63 + -1(19 + -18n) 18n + (5 * -4 + -6n * -4) = 63 + -1(19 + -18n) 18n + (-20 + 24n) = 63 + -1(19 + -18n) Reorder the terms: -20 + 18n + 24n = 63 + -1(19 + -18n) Combine like terms: 18n + 24n = 42n -20 + 42n = 63 + -1(19 + -18n) -20 + 42n = 63 + (19 * -1 + -18n * -1) -20 + 42n = 63 + (-19 + 18n) Combine like terms: 63 + -19 = 44 -20 + 42n = 44 + 18n Solving -20 + 42n = 44 + 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. -20 + 42n + -18n = 44 + 18n + -18n Combine like terms: 42n + -18n = 24n -20 + 24n = 44 + 18n + -18n Combine like terms: 18n + -18n = 0 -20 + 24n = 44 + 0 -20 + 24n = 44 Add '20' to each side of the equation. -20 + 20 + 24n = 44 + 20 Combine like terms: -20 + 20 = 0 0 + 24n = 44 + 20 24n = 44 + 20 Combine like terms: 44 + 20 = 64 24n = 64 Divide each side by '24'. n = 2.666666667 Simplifying n = 2.666666667
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