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Simplifying -182 = 8(1 + 4n) + 6n -182 = (1 * 8 + 4n * 8) + 6n -182 = (8 + 32n) + 6n Combine like terms: 32n + 6n = 38n -182 = 8 + 38n Solving -182 = 8 + 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. -182 + -38n = 8 + 38n + -38n Combine like terms: 38n + -38n = 0 -182 + -38n = 8 + 0 -182 + -38n = 8 Add '182' to each side of the equation. -182 + 182 + -38n = 8 + 182 Combine like terms: -182 + 182 = 0 0 + -38n = 8 + 182 -38n = 8 + 182 Combine like terms: 8 + 182 = 190 -38n = 190 Divide each side by '-38'. n = -5 Simplifying n = -5
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