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Simplifying 5n + 34 = -2(x + -7n) Reorder the terms: 34 + 5n = -2(x + -7n) Reorder the terms: 34 + 5n = -2(-7n + x) 34 + 5n = (-7n * -2 + x * -2) 34 + 5n = (14n + -2x) Solving 34 + 5n = 14n + -2x 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 = 14n + -14n + -2x Combine like terms: 5n + -14n = -9n 34 + -9n = 14n + -14n + -2x Combine like terms: 14n + -14n = 0 34 + -9n = 0 + -2x 34 + -9n = -2x Add '-34' to each side of the equation. 34 + -34 + -9n = -34 + -2x Combine like terms: 34 + -34 = 0 0 + -9n = -34 + -2x -9n = -34 + -2x Divide each side by '-9'. n = 3.777777778 + 0.2222222222x Simplifying n = 3.777777778 + 0.2222222222x
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