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Simplifying (-1n + (-5)) + -1(6n + (-6)) = 0 (-1n + -5) + -1(6n + (-6)) = 0 Reorder the terms: (-5 + -1n) + -1(6n + (-6)) = 0 Remove parenthesis around (-5 + -1n) -5 + -1n + -1(6n + (-6)) = 0 -5 + -1n + -1(6n + -6) = 0 Reorder the terms: -5 + -1n + -1(-6 + 6n) = 0 -5 + -1n + (-6 * -1 + 6n * -1) = 0 -5 + -1n + (6 + -6n) = 0 Reorder the terms: -5 + 6 + -1n + -6n = 0 Combine like terms: -5 + 6 = 1 1 + -1n + -6n = 0 Combine like terms: -1n + -6n = -7n 1 + -7n = 0 Solving 1 + -7n = 0 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 + -7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7n = 0 + -1 -7n = 0 + -1 Combine like terms: 0 + -1 = -1 -7n = -1 Divide each side by '-7'. n = 0.1428571429 Simplifying n = 0.1428571429
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