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Simplifying 34 = -5 + 7(n + -8) Reorder the terms: 34 = -5 + 7(-8 + n) 34 = -5 + (-8 * 7 + n * 7) 34 = -5 + (-56 + 7n) Combine like terms: -5 + -56 = -61 34 = -61 + 7n Solving 34 = -61 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 34 + -7n = -61 + 7n + -7n Combine like terms: 7n + -7n = 0 34 + -7n = -61 + 0 34 + -7n = -61 Add '-34' to each side of the equation. 34 + -34 + -7n = -61 + -34 Combine like terms: 34 + -34 = 0 0 + -7n = -61 + -34 -7n = -61 + -34 Combine like terms: -61 + -34 = -95 -7n = -95 Divide each side by '-7'. n = 13.57142857 Simplifying n = 13.57142857
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