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Simplifying -8n + 5n + 1 = -27 + n Reorder the terms: 1 + -8n + 5n = -27 + n Combine like terms: -8n + 5n = -3n 1 + -3n = -27 + n Solving 1 + -3n = -27 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 1 + -3n + -1n = -27 + n + -1n Combine like terms: -3n + -1n = -4n 1 + -4n = -27 + n + -1n Combine like terms: n + -1n = 0 1 + -4n = -27 + 0 1 + -4n = -27 Add '-1' to each side of the equation. 1 + -1 + -4n = -27 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -27 + -1 -4n = -27 + -1 Combine like terms: -27 + -1 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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