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Simplifying 8(n + 3) + -5(x + -2) = 49 Reorder the terms: 8(3 + n) + -5(x + -2) = 49 (3 * 8 + n * 8) + -5(x + -2) = 49 (24 + 8n) + -5(x + -2) = 49 Reorder the terms: 24 + 8n + -5(-2 + x) = 49 24 + 8n + (-2 * -5 + x * -5) = 49 24 + 8n + (10 + -5x) = 49 Reorder the terms: 24 + 10 + 8n + -5x = 49 Combine like terms: 24 + 10 = 34 34 + 8n + -5x = 49 Solving 34 + 8n + -5x = 49 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 8n + -34 + -5x = 49 + -34 Reorder the terms: 34 + -34 + 8n + -5x = 49 + -34 Combine like terms: 34 + -34 = 0 0 + 8n + -5x = 49 + -34 8n + -5x = 49 + -34 Combine like terms: 49 + -34 = 15 8n + -5x = 15 Add '5x' to each side of the equation. 8n + -5x + 5x = 15 + 5x Combine like terms: -5x + 5x = 0 8n + 0 = 15 + 5x 8n = 15 + 5x Divide each side by '8'. n = 1.875 + 0.625x Simplifying n = 1.875 + 0.625x
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