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Simplifying -5(n + -3) + 5 = -3n + 8 + -5n Reorder the terms: -5(-3 + n) + 5 = -3n + 8 + -5n (-3 * -5 + n * -5) + 5 = -3n + 8 + -5n (15 + -5n) + 5 = -3n + 8 + -5n Reorder the terms: 15 + 5 + -5n = -3n + 8 + -5n Combine like terms: 15 + 5 = 20 20 + -5n = -3n + 8 + -5n Reorder the terms: 20 + -5n = 8 + -3n + -5n Combine like terms: -3n + -5n = -8n 20 + -5n = 8 + -8n Solving 20 + -5n = 8 + -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. 20 + -5n + 8n = 8 + -8n + 8n Combine like terms: -5n + 8n = 3n 20 + 3n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 20 + 3n = 8 + 0 20 + 3n = 8 Add '-20' to each side of the equation. 20 + -20 + 3n = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 3n = 8 + -20 3n = 8 + -20 Combine like terms: 8 + -20 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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