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Simplifying 8(5n + -3) = 2 + -1n Reorder the terms: 8(-3 + 5n) = 2 + -1n (-3 * 8 + 5n * 8) = 2 + -1n (-24 + 40n) = 2 + -1n Solving -24 + 40n = 2 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -24 + 40n + n = 2 + -1n + n Combine like terms: 40n + n = 41n -24 + 41n = 2 + -1n + n Combine like terms: -1n + n = 0 -24 + 41n = 2 + 0 -24 + 41n = 2 Add '24' to each side of the equation. -24 + 24 + 41n = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 41n = 2 + 24 41n = 2 + 24 Combine like terms: 2 + 24 = 26 41n = 26 Divide each side by '41'. n = 0.6341463415 Simplifying n = 0.6341463415
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