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Simplifying 3n + -5 = 8(6 + -5n) Reorder the terms: -5 + 3n = 8(6 + -5n) -5 + 3n = (6 * 8 + -5n * 8) -5 + 3n = (48 + -40n) Solving -5 + 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. -5 + 3n + 40n = 48 + -40n + 40n Combine like terms: 3n + 40n = 43n -5 + 43n = 48 + -40n + 40n Combine like terms: -40n + 40n = 0 -5 + 43n = 48 + 0 -5 + 43n = 48 Add '5' to each side of the equation. -5 + 5 + 43n = 48 + 5 Combine like terms: -5 + 5 = 0 0 + 43n = 48 + 5 43n = 48 + 5 Combine like terms: 48 + 5 = 53 43n = 53 Divide each side by '43'. n = 1.23255814 Simplifying n = 1.23255814
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