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Simplifying -1n + -4(1 + n) = 8n + 9 -1n + (1 * -4 + n * -4) = 8n + 9 -1n + (-4 + -4n) = 8n + 9 Reorder the terms: -4 + -1n + -4n = 8n + 9 Combine like terms: -1n + -4n = -5n -4 + -5n = 8n + 9 Reorder the terms: -4 + -5n = 9 + 8n Solving -4 + -5n = 9 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -4 + -5n + -8n = 9 + 8n + -8n Combine like terms: -5n + -8n = -13n -4 + -13n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + -13n = 9 + 0 -4 + -13n = 9 Add '4' to each side of the equation. -4 + 4 + -13n = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -13n = 9 + 4 -13n = 9 + 4 Combine like terms: 9 + 4 = 13 -13n = 13 Divide each side by '-13'. n = -1 Simplifying n = -1
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