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Simplifying -5(n + 3) + -7 + 8n = 0 Reorder the terms: -5(3 + n) + -7 + 8n = 0 (3 * -5 + n * -5) + -7 + 8n = 0 (-15 + -5n) + -7 + 8n = 0 Reorder the terms: -15 + -7 + -5n + 8n = 0 Combine like terms: -15 + -7 = -22 -22 + -5n + 8n = 0 Combine like terms: -5n + 8n = 3n -22 + 3n = 0 Solving -22 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 3n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 3n = 0 + 22 3n = 0 + 22 Combine like terms: 0 + 22 = 22 3n = 22 Divide each side by '3'. n = 7.333333333 Simplifying n = 7.333333333
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