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Simplifying n + -6 + -9n = 2n + 27 + 3n Reorder the terms: -6 + n + -9n = 2n + 27 + 3n Combine like terms: n + -9n = -8n -6 + -8n = 2n + 27 + 3n Reorder the terms: -6 + -8n = 27 + 2n + 3n Combine like terms: 2n + 3n = 5n -6 + -8n = 27 + 5n Solving -6 + -8n = 27 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -6 + -8n + -5n = 27 + 5n + -5n Combine like terms: -8n + -5n = -13n -6 + -13n = 27 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + -13n = 27 + 0 -6 + -13n = 27 Add '6' to each side of the equation. -6 + 6 + -13n = 27 + 6 Combine like terms: -6 + 6 = 0 0 + -13n = 27 + 6 -13n = 27 + 6 Combine like terms: 27 + 6 = 33 -13n = 33 Divide each side by '-13'. n = -2.538461538 Simplifying n = -2.538461538
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