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Simplifying 3n + -5 = 8(6 + 3n) Reorder the terms: -5 + 3n = 8(6 + 3n) -5 + 3n = (6 * 8 + 3n * 8) -5 + 3n = (48 + 24n) Solving -5 + 3n = 48 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -5 + 3n + -24n = 48 + 24n + -24n Combine like terms: 3n + -24n = -21n -5 + -21n = 48 + 24n + -24n Combine like terms: 24n + -24n = 0 -5 + -21n = 48 + 0 -5 + -21n = 48 Add '5' to each side of the equation. -5 + 5 + -21n = 48 + 5 Combine like terms: -5 + 5 = 0 0 + -21n = 48 + 5 -21n = 48 + 5 Combine like terms: 48 + 5 = 53 -21n = 53 Divide each side by '-21'. n = -2.523809524 Simplifying n = -2.523809524
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