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Simplifying -1(-8n + 2) = -4(-6 + 5n) + 7n Reorder the terms: -1(2 + -8n) = -4(-6 + 5n) + 7n (2 * -1 + -8n * -1) = -4(-6 + 5n) + 7n (-2 + 8n) = -4(-6 + 5n) + 7n -2 + 8n = (-6 * -4 + 5n * -4) + 7n -2 + 8n = (24 + -20n) + 7n Combine like terms: -20n + 7n = -13n -2 + 8n = 24 + -13n Solving -2 + 8n = 24 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -2 + 8n + 13n = 24 + -13n + 13n Combine like terms: 8n + 13n = 21n -2 + 21n = 24 + -13n + 13n Combine like terms: -13n + 13n = 0 -2 + 21n = 24 + 0 -2 + 21n = 24 Add '2' to each side of the equation. -2 + 2 + 21n = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 21n = 24 + 2 21n = 24 + 2 Combine like terms: 24 + 2 = 26 21n = 26 Divide each side by '21'. n = 1.238095238 Simplifying n = 1.238095238
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