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Simplifying 4(4 + 6n) = (n + -9) + 8n (4 * 4 + 6n * 4) = (n + -9) + 8n (16 + 24n) = (n + -9) + 8n Reorder the terms: 16 + 24n = (-9 + n) + 8n Remove parenthesis around (-9 + n) 16 + 24n = -9 + n + 8n Combine like terms: n + 8n = 9n 16 + 24n = -9 + 9n Solving 16 + 24n = -9 + 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. 16 + 24n + -9n = -9 + 9n + -9n Combine like terms: 24n + -9n = 15n 16 + 15n = -9 + 9n + -9n Combine like terms: 9n + -9n = 0 16 + 15n = -9 + 0 16 + 15n = -9 Add '-16' to each side of the equation. 16 + -16 + 15n = -9 + -16 Combine like terms: 16 + -16 = 0 0 + 15n = -9 + -16 15n = -9 + -16 Combine like terms: -9 + -16 = -25 15n = -25 Divide each side by '15'. n = -1.666666667 Simplifying n = -1.666666667
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