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Simplifying -8 * 4(1 + 5n) = -6n + -14 Multiply -8 * 4 -32(1 + 5n) = -6n + -14 (1 * -32 + 5n * -32) = -6n + -14 (-32 + -160n) = -6n + -14 Reorder the terms: -32 + -160n = -14 + -6n Solving -32 + -160n = -14 + -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. -32 + -160n + 6n = -14 + -6n + 6n Combine like terms: -160n + 6n = -154n -32 + -154n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 -32 + -154n = -14 + 0 -32 + -154n = -14 Add '32' to each side of the equation. -32 + 32 + -154n = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -154n = -14 + 32 -154n = -14 + 32 Combine like terms: -14 + 32 = 18 -154n = 18 Divide each side by '-154'. n = -0.1168831169 Simplifying n = -0.1168831169
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