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Simplifying -4(1 + 7n) = 36 + -8n (1 * -4 + 7n * -4) = 36 + -8n (-4 + -28n) = 36 + -8n Solving -4 + -28n = 36 + -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. -4 + -28n + 8n = 36 + -8n + 8n Combine like terms: -28n + 8n = -20n -4 + -20n = 36 + -8n + 8n Combine like terms: -8n + 8n = 0 -4 + -20n = 36 + 0 -4 + -20n = 36 Add '4' to each side of the equation. -4 + 4 + -20n = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -20n = 36 + 4 -20n = 36 + 4 Combine like terms: 36 + 4 = 40 -20n = 40 Divide each side by '-20'. n = -2 Simplifying n = -2
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