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Simplifying 3(n + 1) + -8(2 + -1n) = 20 Reorder the terms: 3(1 + n) + -8(2 + -1n) = 20 (1 * 3 + n * 3) + -8(2 + -1n) = 20 (3 + 3n) + -8(2 + -1n) = 20 3 + 3n + (2 * -8 + -1n * -8) = 20 3 + 3n + (-16 + 8n) = 20 Reorder the terms: 3 + -16 + 3n + 8n = 20 Combine like terms: 3 + -16 = -13 -13 + 3n + 8n = 20 Combine like terms: 3n + 8n = 11n -13 + 11n = 20 Solving -13 + 11n = 20 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 + 11n = 20 + 13 Combine like terms: -13 + 13 = 0 0 + 11n = 20 + 13 11n = 20 + 13 Combine like terms: 20 + 13 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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