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Simplifying (6n + -2) + -1(8n + 7) = 0 Reorder the terms: (-2 + 6n) + -1(8n + 7) = 0 Remove parenthesis around (-2 + 6n) -2 + 6n + -1(8n + 7) = 0 Reorder the terms: -2 + 6n + -1(7 + 8n) = 0 -2 + 6n + (7 * -1 + 8n * -1) = 0 -2 + 6n + (-7 + -8n) = 0 Reorder the terms: -2 + -7 + 6n + -8n = 0 Combine like terms: -2 + -7 = -9 -9 + 6n + -8n = 0 Combine like terms: 6n + -8n = -2n -9 + -2n = 0 Solving -9 + -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2n = 0 + 9 -2n = 0 + 9 Combine like terms: 0 + 9 = 9 -2n = 9 Divide each side by '-2'. n = -4.5 Simplifying n = -4.5
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