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Simplifying 6n + -9 = -1(2n + -7) Reorder the terms: -9 + 6n = -1(2n + -7) Reorder the terms: -9 + 6n = -1(-7 + 2n) -9 + 6n = (-7 * -1 + 2n * -1) -9 + 6n = (7 + -2n) Solving -9 + 6n = 7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -9 + 6n + 2n = 7 + -2n + 2n Combine like terms: 6n + 2n = 8n -9 + 8n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 -9 + 8n = 7 + 0 -9 + 8n = 7 Add '9' to each side of the equation. -9 + 9 + 8n = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8n = 7 + 9 8n = 7 + 9 Combine like terms: 7 + 9 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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