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Simplifying -2n + 6(n + -8) = 8(-6 + 5n) Reorder the terms: -2n + 6(-8 + n) = 8(-6 + 5n) -2n + (-8 * 6 + n * 6) = 8(-6 + 5n) -2n + (-48 + 6n) = 8(-6 + 5n) Reorder the terms: -48 + -2n + 6n = 8(-6 + 5n) Combine like terms: -2n + 6n = 4n -48 + 4n = 8(-6 + 5n) -48 + 4n = (-6 * 8 + 5n * 8) -48 + 4n = (-48 + 40n) Add '48' to each side of the equation. -48 + 48 + 4n = -48 + 48 + 40n Combine like terms: -48 + 48 = 0 0 + 4n = -48 + 48 + 40n 4n = -48 + 48 + 40n Combine like terms: -48 + 48 = 0 4n = 0 + 40n 4n = 40n Solving 4n = 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. 4n + -40n = 40n + -40n Combine like terms: 4n + -40n = -36n -36n = 40n + -40n Combine like terms: 40n + -40n = 0 -36n = 0 Divide each side by '-36'. n = 0 Simplifying n = 0
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