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Simplifying 8(n + -6) = 4n + -40 Reorder the terms: 8(-6 + n) = 4n + -40 (-6 * 8 + n * 8) = 4n + -40 (-48 + 8n) = 4n + -40 Reorder the terms: -48 + 8n = -40 + 4n Solving -48 + 8n = -40 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -48 + 8n + -4n = -40 + 4n + -4n Combine like terms: 8n + -4n = 4n -48 + 4n = -40 + 4n + -4n Combine like terms: 4n + -4n = 0 -48 + 4n = -40 + 0 -48 + 4n = -40 Add '48' to each side of the equation. -48 + 48 + 4n = -40 + 48 Combine like terms: -48 + 48 = 0 0 + 4n = -40 + 48 4n = -40 + 48 Combine like terms: -40 + 48 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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