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Simplifying 34 + 5n = -4(5 + -8n) 34 + 5n = (5 * -4 + -8n * -4) 34 + 5n = (-20 + 32n) Solving 34 + 5n = -20 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 34 + 5n + -32n = -20 + 32n + -32n Combine like terms: 5n + -32n = -27n 34 + -27n = -20 + 32n + -32n Combine like terms: 32n + -32n = 0 34 + -27n = -20 + 0 34 + -27n = -20 Add '-34' to each side of the equation. 34 + -34 + -27n = -20 + -34 Combine like terms: 34 + -34 = 0 0 + -27n = -20 + -34 -27n = -20 + -34 Combine like terms: -20 + -34 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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