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Simplifying 8(1 + -3n) = 14 + -9n (1 * 8 + -3n * 8) = 14 + -9n (8 + -24n) = 14 + -9n Solving 8 + -24n = 14 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 8 + -24n + 9n = 14 + -9n + 9n Combine like terms: -24n + 9n = -15n 8 + -15n = 14 + -9n + 9n Combine like terms: -9n + 9n = 0 8 + -15n = 14 + 0 8 + -15n = 14 Add '-8' to each side of the equation. 8 + -8 + -15n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -15n = 14 + -8 -15n = 14 + -8 Combine like terms: 14 + -8 = 6 -15n = 6 Divide each side by '-15'. n = -0.4 Simplifying n = -0.4
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