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Simplifying 3n + 34 = -8(6 + 5n) Reorder the terms: 34 + 3n = -8(6 + 5n) 34 + 3n = (6 * -8 + 5n * -8) 34 + 3n = (-48 + -40n) Solving 34 + 3n = -48 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 34 + 3n + 40n = -48 + -40n + 40n Combine like terms: 3n + 40n = 43n 34 + 43n = -48 + -40n + 40n Combine like terms: -40n + 40n = 0 34 + 43n = -48 + 0 34 + 43n = -48 Add '-34' to each side of the equation. 34 + -34 + 43n = -48 + -34 Combine like terms: 34 + -34 = 0 0 + 43n = -48 + -34 43n = -48 + -34 Combine like terms: -48 + -34 = -82 43n = -82 Divide each side by '43'. n = -1.906976744 Simplifying n = -1.906976744
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