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Simplifying -7(8 + 7n) + 3(-8n + 7) = 38 (8 * -7 + 7n * -7) + 3(-8n + 7) = 38 (-56 + -49n) + 3(-8n + 7) = 38 Reorder the terms: -56 + -49n + 3(7 + -8n) = 38 -56 + -49n + (7 * 3 + -8n * 3) = 38 -56 + -49n + (21 + -24n) = 38 Reorder the terms: -56 + 21 + -49n + -24n = 38 Combine like terms: -56 + 21 = -35 -35 + -49n + -24n = 38 Combine like terms: -49n + -24n = -73n -35 + -73n = 38 Solving -35 + -73n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -73n = 38 + 35 Combine like terms: -35 + 35 = 0 0 + -73n = 38 + 35 -73n = 38 + 35 Combine like terms: 38 + 35 = 73 -73n = 73 Divide each side by '-73'. n = -1 Simplifying n = -1
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