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Simplifying -8 + 8n = -7(7n + -7) Reorder the terms: -8 + 8n = -7(-7 + 7n) -8 + 8n = (-7 * -7 + 7n * -7) -8 + 8n = (49 + -49n) Solving -8 + 8n = 49 + -49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '49n' to each side of the equation. -8 + 8n + 49n = 49 + -49n + 49n Combine like terms: 8n + 49n = 57n -8 + 57n = 49 + -49n + 49n Combine like terms: -49n + 49n = 0 -8 + 57n = 49 + 0 -8 + 57n = 49 Add '8' to each side of the equation. -8 + 8 + 57n = 49 + 8 Combine like terms: -8 + 8 = 0 0 + 57n = 49 + 8 57n = 49 + 8 Combine like terms: 49 + 8 = 57 57n = 57 Divide each side by '57'. n = 1 Simplifying n = 1
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