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Simplifying (-1n + (-3)) + -1(8n + (-2)) = 0 (-1n + -3) + -1(8n + (-2)) = 0 Reorder the terms: (-3 + -1n) + -1(8n + (-2)) = 0 Remove parenthesis around (-3 + -1n) -3 + -1n + -1(8n + (-2)) = 0 -3 + -1n + -1(8n + -2) = 0 Reorder the terms: -3 + -1n + -1(-2 + 8n) = 0 -3 + -1n + (-2 * -1 + 8n * -1) = 0 -3 + -1n + (2 + -8n) = 0 Reorder the terms: -3 + 2 + -1n + -8n = 0 Combine like terms: -3 + 2 = -1 -1 + -1n + -8n = 0 Combine like terms: -1n + -8n = -9n -1 + -9n = 0 Solving -1 + -9n = 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 + -9n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9n = 0 + 1 -9n = 0 + 1 Combine like terms: 0 + 1 = 1 -9n = 1 Divide each side by '-9'. n = -0.1111111111 Simplifying n = -0.1111111111
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