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Simplifying 5n + 34 = (1 + -7n) Reorder the terms: 34 + 5n = (1 + -7n) Remove parenthesis around (1 + -7n) 34 + 5n = 1 + -7n Solving 34 + 5n = 1 + -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 + 5n + 7n = 1 + -7n + 7n Combine like terms: 5n + 7n = 12n 34 + 12n = 1 + -7n + 7n Combine like terms: -7n + 7n = 0 34 + 12n = 1 + 0 34 + 12n = 1 Add '-34' to each side of the equation. 34 + -34 + 12n = 1 + -34 Combine like terms: 34 + -34 = 0 0 + 12n = 1 + -34 12n = 1 + -34 Combine like terms: 1 + -34 = -33 12n = -33 Divide each side by '12'. n = -2.75 Simplifying n = -2.75
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