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Simplifying -4n + -1(1 + 6n) = 39 + -5n -4n + (1 * -1 + 6n * -1) = 39 + -5n -4n + (-1 + -6n) = 39 + -5n Reorder the terms: -1 + -4n + -6n = 39 + -5n Combine like terms: -4n + -6n = -10n -1 + -10n = 39 + -5n Solving -1 + -10n = 39 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -1 + -10n + 5n = 39 + -5n + 5n Combine like terms: -10n + 5n = -5n -1 + -5n = 39 + -5n + 5n Combine like terms: -5n + 5n = 0 -1 + -5n = 39 + 0 -1 + -5n = 39 Add '1' to each side of the equation. -1 + 1 + -5n = 39 + 1 Combine like terms: -1 + 1 = 0 0 + -5n = 39 + 1 -5n = 39 + 1 Combine like terms: 39 + 1 = 40 -5n = 40 Divide each side by '-5'. n = -8 Simplifying n = -8
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