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Simplifying 1 + 4(6n + -9) = (6n + -1) + -3 Reorder the terms: 1 + 4(-9 + 6n) = (6n + -1) + -3 1 + (-9 * 4 + 6n * 4) = (6n + -1) + -3 1 + (-36 + 24n) = (6n + -1) + -3 Combine like terms: 1 + -36 = -35 -35 + 24n = (6n + -1) + -3 Reorder the terms: -35 + 24n = (-1 + 6n) + -3 Remove parenthesis around (-1 + 6n) -35 + 24n = -1 + 6n + -3 Reorder the terms: -35 + 24n = -1 + -3 + 6n Combine like terms: -1 + -3 = -4 -35 + 24n = -4 + 6n Solving -35 + 24n = -4 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -35 + 24n + -6n = -4 + 6n + -6n Combine like terms: 24n + -6n = 18n -35 + 18n = -4 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 + 18n = -4 + 0 -35 + 18n = -4 Add '35' to each side of the equation. -35 + 35 + 18n = -4 + 35 Combine like terms: -35 + 35 = 0 0 + 18n = -4 + 35 18n = -4 + 35 Combine like terms: -4 + 35 = 31 18n = 31 Divide each side by '18'. n = 1.722222222 Simplifying n = 1.722222222
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