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Simplifying 4(2n + 5) = 3(n + -10) Reorder the terms: 4(5 + 2n) = 3(n + -10) (5 * 4 + 2n * 4) = 3(n + -10) (20 + 8n) = 3(n + -10) Reorder the terms: 20 + 8n = 3(-10 + n) 20 + 8n = (-10 * 3 + n * 3) 20 + 8n = (-30 + 3n) Solving 20 + 8n = -30 + 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. 20 + 8n + -3n = -30 + 3n + -3n Combine like terms: 8n + -3n = 5n 20 + 5n = -30 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 5n = -30 + 0 20 + 5n = -30 Add '-20' to each side of the equation. 20 + -20 + 5n = -30 + -20 Combine like terms: 20 + -20 = 0 0 + 5n = -30 + -20 5n = -30 + -20 Combine like terms: -30 + -20 = -50 5n = -50 Divide each side by '5'. n = -10 Simplifying n = -10
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