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Simplifying 5n + 34 = -2 + -1(1 + -7n) Reorder the terms: 34 + 5n = -2 + -1(1 + -7n) 34 + 5n = -2 + (1 * -1 + -7n * -1) 34 + 5n = -2 + (-1 + 7n) Combine like terms: -2 + -1 = -3 34 + 5n = -3 + 7n Solving 34 + 5n = -3 + 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 = -3 + 7n + -7n Combine like terms: 5n + -7n = -2n 34 + -2n = -3 + 7n + -7n Combine like terms: 7n + -7n = 0 34 + -2n = -3 + 0 34 + -2n = -3 Add '-34' to each side of the equation. 34 + -34 + -2n = -3 + -34 Combine like terms: 34 + -34 = 0 0 + -2n = -3 + -34 -2n = -3 + -34 Combine like terms: -3 + -34 = -37 -2n = -37 Divide each side by '-2'. n = 18.5 Simplifying n = 18.5
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