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Simplifying 9(n + -5) + 8(n + 4) = 38 Reorder the terms: 9(-5 + n) + 8(n + 4) = 38 (-5 * 9 + n * 9) + 8(n + 4) = 38 (-45 + 9n) + 8(n + 4) = 38 Reorder the terms: -45 + 9n + 8(4 + n) = 38 -45 + 9n + (4 * 8 + n * 8) = 38 -45 + 9n + (32 + 8n) = 38 Reorder the terms: -45 + 32 + 9n + 8n = 38 Combine like terms: -45 + 32 = -13 -13 + 9n + 8n = 38 Combine like terms: 9n + 8n = 17n -13 + 17n = 38 Solving -13 + 17n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 17n = 38 + 13 Combine like terms: -13 + 13 = 0 0 + 17n = 38 + 13 17n = 38 + 13 Combine like terms: 38 + 13 = 51 17n = 51 Divide each side by '17'. n = 3 Simplifying n = 3
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