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Simplifying 4 + 3n = 6 + -5(n + -2) Reorder the terms: 4 + 3n = 6 + -5(-2 + n) 4 + 3n = 6 + (-2 * -5 + n * -5) 4 + 3n = 6 + (10 + -5n) Combine like terms: 6 + 10 = 16 4 + 3n = 16 + -5n Solving 4 + 3n = 16 + -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. 4 + 3n + 5n = 16 + -5n + 5n Combine like terms: 3n + 5n = 8n 4 + 8n = 16 + -5n + 5n Combine like terms: -5n + 5n = 0 4 + 8n = 16 + 0 4 + 8n = 16 Add '-4' to each side of the equation. 4 + -4 + 8n = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 8n = 16 + -4 8n = 16 + -4 Combine like terms: 16 + -4 = 12 8n = 12 Divide each side by '8'. n = 1.5 Simplifying n = 1.5
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