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Simplifying 34 + n = (-6 + -6n) Remove parenthesis around (-6 + -6n) 34 + n = -6 + -6n Solving 34 + n = -6 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 34 + n + 6n = -6 + -6n + 6n Combine like terms: n + 6n = 7n 34 + 7n = -6 + -6n + 6n Combine like terms: -6n + 6n = 0 34 + 7n = -6 + 0 34 + 7n = -6 Add '-34' to each side of the equation. 34 + -34 + 7n = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 7n = -6 + -34 7n = -6 + -34 Combine like terms: -6 + -34 = -40 7n = -40 Divide each side by '7'. n = -5.714285714 Simplifying n = -5.714285714
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