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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 = 17n 34 + 17n = -12n + 12n Combine like terms: -12n + 12n = 0 34 + 17n = 0 Add '-34' to each side of the equation. 34 + -34 + 17n = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 17n = 0 + -34 17n = 0 + -34 Combine like terms: 0 + -34 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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