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Simplifying 8(4n + -6) = 5 + -5n Reorder the terms: 8(-6 + 4n) = 5 + -5n (-6 * 8 + 4n * 8) = 5 + -5n (-48 + 32n) = 5 + -5n Solving -48 + 32n = 5 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -48 + 32n + 5n = 5 + -5n + 5n Combine like terms: 32n + 5n = 37n -48 + 37n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 -48 + 37n = 5 + 0 -48 + 37n = 5 Add '48' to each side of the equation. -48 + 48 + 37n = 5 + 48 Combine like terms: -48 + 48 = 0 0 + 37n = 5 + 48 37n = 5 + 48 Combine like terms: 5 + 48 = 53 37n = 53 Divide each side by '37'. n = 1.432432432 Simplifying n = 1.432432432
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