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Simplifying -4(2 + 5n) = 8n + 28 (2 * -4 + 5n * -4) = 8n + 28 (-8 + -20n) = 8n + 28 Reorder the terms: -8 + -20n = 28 + 8n Solving -8 + -20n = 28 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + -20n + -8n = 28 + 8n + -8n Combine like terms: -20n + -8n = -28n -8 + -28n = 28 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + -28n = 28 + 0 -8 + -28n = 28 Add '8' to each side of the equation. -8 + 8 + -28n = 28 + 8 Combine like terms: -8 + 8 = 0 0 + -28n = 28 + 8 -28n = 28 + 8 Combine like terms: 28 + 8 = 36 -28n = 36 Divide each side by '-28'. n = -1.285714286 Simplifying n = -1.285714286
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