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Simplifying 15 + -8n = 5(n + -6) Reorder the terms: 15 + -8n = 5(-6 + n) 15 + -8n = (-6 * 5 + n * 5) 15 + -8n = (-30 + 5n) Solving 15 + -8n = -30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 15 + -8n + -5n = -30 + 5n + -5n Combine like terms: -8n + -5n = -13n 15 + -13n = -30 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + -13n = -30 + 0 15 + -13n = -30 Add '-15' to each side of the equation. 15 + -15 + -13n = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -13n = -30 + -15 -13n = -30 + -15 Combine like terms: -30 + -15 = -45 -13n = -45 Divide each side by '-13'. n = 3.461538462 Simplifying n = 3.461538462
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