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Simplifying -105 = -8(-1n + 8) + -1 Reorder the terms: -105 = -8(8 + -1n) + -1 -105 = (8 * -8 + -1n * -8) + -1 -105 = (-64 + 8n) + -1 Reorder the terms: -105 = -64 + -1 + 8n Combine like terms: -64 + -1 = -65 -105 = -65 + 8n Solving -105 = -65 + 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 = -65 + 8n + -8n Combine like terms: 8n + -8n = 0 -105 + -8n = -65 + 0 -105 + -8n = -65 Add '105' to each side of the equation. -105 + 105 + -8n = -65 + 105 Combine like terms: -105 + 105 = 0 0 + -8n = -65 + 105 -8n = -65 + 105 Combine like terms: -65 + 105 = 40 -8n = 40 Divide each side by '-8'. n = -5 Simplifying n = -5
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