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Simplifying 5n + 34 = -8(5n + 6) Reorder the terms: 34 + 5n = -8(5n + 6) Reorder the terms: 34 + 5n = -8(6 + 5n) 34 + 5n = (6 * -8 + 5n * -8) 34 + 5n = (-48 + -40n) Solving 34 + 5n = -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 + 5n + 40n = -48 + -40n + 40n Combine like terms: 5n + 40n = 45n 34 + 45n = -48 + -40n + 40n Combine like terms: -40n + 40n = 0 34 + 45n = -48 + 0 34 + 45n = -48 Add '-34' to each side of the equation. 34 + -34 + 45n = -48 + -34 Combine like terms: 34 + -34 = 0 0 + 45n = -48 + -34 45n = -48 + -34 Combine like terms: -48 + -34 = -82 45n = -82 Divide each side by '45'. n = -1.822222222 Simplifying n = -1.822222222
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