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Simplifying 34 + 3n = 5(-4 + 6n) 34 + 3n = (-4 * 5 + 6n * 5) 34 + 3n = (-20 + 30n) Solving 34 + 3n = -20 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 34 + 3n + -30n = -20 + 30n + -30n Combine like terms: 3n + -30n = -27n 34 + -27n = -20 + 30n + -30n Combine like terms: 30n + -30n = 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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