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Simplifying 8(n + -1) = 52 + 4n Reorder the terms: 8(-1 + n) = 52 + 4n (-1 * 8 + n * 8) = 52 + 4n (-8 + 8n) = 52 + 4n Solving -8 + 8n = 52 + 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. -8 + 8n + -4n = 52 + 4n + -4n Combine like terms: 8n + -4n = 4n -8 + 4n = 52 + 4n + -4n Combine like terms: 4n + -4n = 0 -8 + 4n = 52 + 0 -8 + 4n = 52 Add '8' to each side of the equation. -8 + 8 + 4n = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 52 + 8 4n = 52 + 8 Combine like terms: 52 + 8 = 60 4n = 60 Divide each side by '4'. n = 15 Simplifying n = 15
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