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Simplifying 4n + -1(9 + -3n) = 8n + -1 4n + (9 * -1 + -3n * -1) = 8n + -1 4n + (-9 + 3n) = 8n + -1 Reorder the terms: -9 + 4n + 3n = 8n + -1 Combine like terms: 4n + 3n = 7n -9 + 7n = 8n + -1 Reorder the terms: -9 + 7n = -1 + 8n Solving -9 + 7n = -1 + 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. -9 + 7n + -8n = -1 + 8n + -8n Combine like terms: 7n + -8n = -1n -9 + -1n = -1 + 8n + -8n Combine like terms: 8n + -8n = 0 -9 + -1n = -1 + 0 -9 + -1n = -1 Add '9' to each side of the equation. -9 + 9 + -1n = -1 + 9 Combine like terms: -9 + 9 = 0 0 + -1n = -1 + 9 -1n = -1 + 9 Combine like terms: -1 + 9 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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