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Simplifying 5n + 24 = -5(1 + -8n) Reorder the terms: 24 + 5n = -5(1 + -8n) 24 + 5n = (1 * -5 + -8n * -5) 24 + 5n = (-5 + 40n) Solving 24 + 5n = -5 + 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. 24 + 5n + -40n = -5 + 40n + -40n Combine like terms: 5n + -40n = -35n 24 + -35n = -5 + 40n + -40n Combine like terms: 40n + -40n = 0 24 + -35n = -5 + 0 24 + -35n = -5 Add '-24' to each side of the equation. 24 + -24 + -35n = -5 + -24 Combine like terms: 24 + -24 = 0 0 + -35n = -5 + -24 -35n = -5 + -24 Combine like terms: -5 + -24 = -29 -35n = -29 Divide each side by '-35'. n = 0.8285714286 Simplifying n = 0.8285714286
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