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Simplifying 5(2 + -8n) = 4n + -34 (2 * 5 + -8n * 5) = 4n + -34 (10 + -40n) = 4n + -34 Reorder the terms: 10 + -40n = -34 + 4n Solving 10 + -40n = -34 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 10 + -40n + -4n = -34 + 4n + -4n Combine like terms: -40n + -4n = -44n 10 + -44n = -34 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + -44n = -34 + 0 10 + -44n = -34 Add '-10' to each side of the equation. 10 + -10 + -44n = -34 + -10 Combine like terms: 10 + -10 = 0 0 + -44n = -34 + -10 -44n = -34 + -10 Combine like terms: -34 + -10 = -44 -44n = -44 Divide each side by '-44'. n = 1 Simplifying n = 1
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