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Simplifying -8(1 + 5n) = -6n + -14 (1 * -8 + 5n * -8) = -6n + -14 (-8 + -40n) = -6n + -14 Reorder the terms: -8 + -40n = -14 + -6n Solving -8 + -40n = -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. -8 + -40n + 6n = -14 + -6n + 6n Combine like terms: -40n + 6n = -34n -8 + -34n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 -8 + -34n = -14 + 0 -8 + -34n = -14 Add '8' to each side of the equation. -8 + 8 + -34n = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -34n = -14 + 8 -34n = -14 + 8 Combine like terms: -14 + 8 = -6 -34n = -6 Divide each side by '-34'. n = 0.1764705882 Simplifying n = 0.1764705882
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