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Simplifying -105 = -8(n + 7) + -1 Reorder the terms: -105 = -8(7 + n) + -1 -105 = (7 * -8 + n * -8) + -1 -105 = (-56 + -8n) + -1 Reorder the terms: -105 = -56 + -1 + -8n Combine like terms: -56 + -1 = -57 -105 = -57 + -8n Solving -105 = -57 + -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. -105 + 8n = -57 + -8n + 8n Combine like terms: -8n + 8n = 0 -105 + 8n = -57 + 0 -105 + 8n = -57 Add '105' to each side of the equation. -105 + 105 + 8n = -57 + 105 Combine like terms: -105 + 105 = 0 0 + 8n = -57 + 105 8n = -57 + 105 Combine like terms: -57 + 105 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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