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Simplifying 34 + n = -1(6 + -6n) 34 + n = (6 * -1 + -6n * -1) 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 = -5n 34 + -5n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 34 + -5n = -6 + 0 34 + -5n = -6 Add '-34' to each side of the equation. 34 + -34 + -5n = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -5n = -6 + -34 -5n = -6 + -34 Combine like terms: -6 + -34 = -40 -5n = -40 Divide each side by '-5'. n = 8 Simplifying n = 8
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