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Simplifying -6n + -1(8n + -5) = 14 + -1n Reorder the terms: -6n + -1(-5 + 8n) = 14 + -1n -6n + (-5 * -1 + 8n * -1) = 14 + -1n -6n + (5 + -8n) = 14 + -1n Reorder the terms: 5 + -6n + -8n = 14 + -1n Combine like terms: -6n + -8n = -14n 5 + -14n = 14 + -1n Solving 5 + -14n = 14 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 5 + -14n + n = 14 + -1n + n Combine like terms: -14n + n = -13n 5 + -13n = 14 + -1n + n Combine like terms: -1n + n = 0 5 + -13n = 14 + 0 5 + -13n = 14 Add '-5' to each side of the equation. 5 + -5 + -13n = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -13n = 14 + -5 -13n = 14 + -5 Combine like terms: 14 + -5 = 9 -13n = 9 Divide each side by '-13'. n = -0.6923076923 Simplifying n = -0.6923076923
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