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Simplifying -5n + -1(1 + 7n) = -8 -5n + (1 * -1 + 7n * -1) = -8 -5n + (-1 + -7n) = -8 Reorder the terms: -1 + -5n + -7n = -8 Combine like terms: -5n + -7n = -12n -1 + -12n = -8 Solving -1 + -12n = -8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -12n = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -12n = -8 + 1 -12n = -8 + 1 Combine like terms: -8 + 1 = -7 -12n = -7 Divide each side by '-12'. n = 0.5833333333 Simplifying n = 0.5833333333
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