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Simplifying 5n + -5 + 34 = -2(1 + -7n) Reorder the terms: -5 + 34 + 5n = -2(1 + -7n) Combine like terms: -5 + 34 = 29 29 + 5n = -2(1 + -7n) 29 + 5n = (1 * -2 + -7n * -2) 29 + 5n = (-2 + 14n) Solving 29 + 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. 29 + 5n + -14n = -2 + 14n + -14n Combine like terms: 5n + -14n = -9n 29 + -9n = -2 + 14n + -14n Combine like terms: 14n + -14n = 0 29 + -9n = -2 + 0 29 + -9n = -2 Add '-29' to each side of the equation. 29 + -29 + -9n = -2 + -29 Combine like terms: 29 + -29 = 0 0 + -9n = -2 + -29 -9n = -2 + -29 Combine like terms: -2 + -29 = -31 -9n = -31 Divide each side by '-9'. n = 3.444444444 Simplifying n = 3.444444444
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