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Simplifying 5n + 34 = -2(1 + -7) * n Reorder the terms: 34 + 5n = -2(1 + -7) * n Combine like terms: 1 + -7 = -6 34 + 5n = -2(-6) * n Multiply -2 * -6 34 + 5n = 12n Solving 34 + 5n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 34 + 5n + -12n = 12n + -12n Combine like terms: 5n + -12n = -7n 34 + -7n = 12n + -12n Combine like terms: 12n + -12n = 0 34 + -7n = 0 Add '-34' to each side of the equation. 34 + -34 + -7n = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -7n = 0 + -34 -7n = 0 + -34 Combine like terms: 0 + -34 = -34 -7n = -34 Divide each side by '-7'. n = 4.857142857 Simplifying n = 4.857142857
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