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Simplifying 4(5 + 2n) + -2(-8 + 7n) = 4n + -1n (5 * 4 + 2n * 4) + -2(-8 + 7n) = 4n + -1n (20 + 8n) + -2(-8 + 7n) = 4n + -1n 20 + 8n + (-8 * -2 + 7n * -2) = 4n + -1n 20 + 8n + (16 + -14n) = 4n + -1n Reorder the terms: 20 + 16 + 8n + -14n = 4n + -1n Combine like terms: 20 + 16 = 36 36 + 8n + -14n = 4n + -1n Combine like terms: 8n + -14n = -6n 36 + -6n = 4n + -1n Combine like terms: 4n + -1n = 3n 36 + -6n = 3n Solving 36 + -6n = 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. 36 + -6n + -3n = 3n + -3n Combine like terms: -6n + -3n = -9n 36 + -9n = 3n + -3n Combine like terms: 3n + -3n = 0 36 + -9n = 0 Add '-36' to each side of the equation. 36 + -36 + -9n = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -9n = 0 + -36 -9n = 0 + -36 Combine like terms: 0 + -36 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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