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Simplifying 5n + -8(1 + 5n) = 272 5n + (1 * -8 + 5n * -8) = 272 5n + (-8 + -40n) = 272 Reorder the terms: -8 + 5n + -40n = 272 Combine like terms: 5n + -40n = -35n -8 + -35n = 272 Solving -8 + -35n = 272 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -35n = 272 + 8 Combine like terms: -8 + 8 = 0 0 + -35n = 272 + 8 -35n = 272 + 8 Combine like terms: 272 + 8 = 280 -35n = 280 Divide each side by '-35'. n = -8 Simplifying n = -8
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