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Simplifying 7n + -1 + 2n = -9 + 8n + -2 + 3n Reorder the terms: -1 + 7n + 2n = -9 + 8n + -2 + 3n Combine like terms: 7n + 2n = 9n -1 + 9n = -9 + 8n + -2 + 3n Reorder the terms: -1 + 9n = -9 + -2 + 8n + 3n Combine like terms: -9 + -2 = -11 -1 + 9n = -11 + 8n + 3n Combine like terms: 8n + 3n = 11n -1 + 9n = -11 + 11n Solving -1 + 9n = -11 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -1 + 9n + -11n = -11 + 11n + -11n Combine like terms: 9n + -11n = -2n -1 + -2n = -11 + 11n + -11n Combine like terms: 11n + -11n = 0 -1 + -2n = -11 + 0 -1 + -2n = -11 Add '1' to each side of the equation. -1 + 1 + -2n = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = -11 + 1 -2n = -11 + 1 Combine like terms: -11 + 1 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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