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Simplifying 5n + 34 = -2(1 + -7n) Reorder the terms: 34 + 5n = -2(1 + -7n) 34 + 5n = (1 * -2 + -7n * -2) 34 + 5n = (-2 + 14n) Solving 34 + 5n = -2 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 34 + 5n + -14n = -2 + 14n + -14n Combine like terms: 5n + -14n = -9n 34 + -9n = -2 + 14n + -14n Combine like terms: 14n + -14n = 0 34 + -9n = -2 + 0 34 + -9n = -2 Add '-34' to each side of the equation. 34 + -34 + -9n = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9n = -2 + -34 -9n = -2 + -34 Combine like terms: -2 + -34 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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