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Simplifying -7(-4n + 1) = 8n + 33 Reorder the terms: -7(1 + -4n) = 8n + 33 (1 * -7 + -4n * -7) = 8n + 33 (-7 + 28n) = 8n + 33 Reorder the terms: -7 + 28n = 33 + 8n Solving -7 + 28n = 33 + 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. -7 + 28n + -8n = 33 + 8n + -8n Combine like terms: 28n + -8n = 20n -7 + 20n = 33 + 8n + -8n Combine like terms: 8n + -8n = 0 -7 + 20n = 33 + 0 -7 + 20n = 33 Add '7' to each side of the equation. -7 + 7 + 20n = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 20n = 33 + 7 20n = 33 + 7 Combine like terms: 33 + 7 = 40 20n = 40 Divide each side by '20'. n = 2 Simplifying n = 2
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