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Simplifying 5(8 + -1n) = 3n + -15 (8 * 5 + -1n * 5) = 3n + -15 (40 + -5n) = 3n + -15 Reorder the terms: 40 + -5n = -15 + 3n Solving 40 + -5n = -15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 40 + -5n + -3n = -15 + 3n + -3n Combine like terms: -5n + -3n = -8n 40 + -8n = -15 + 3n + -3n Combine like terms: 3n + -3n = 0 40 + -8n = -15 + 0 40 + -8n = -15 Add '-40' to each side of the equation. 40 + -40 + -8n = -15 + -40 Combine like terms: 40 + -40 = 0 0 + -8n = -15 + -40 -8n = -15 + -40 Combine like terms: -15 + -40 = -55 -8n = -55 Divide each side by '-8'. n = 6.875 Simplifying n = 6.875
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