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Simplifying -8(n + -8) + 1 = 121 Reorder the terms: -8(-8 + n) + 1 = 121 (-8 * -8 + n * -8) + 1 = 121 (64 + -8n) + 1 = 121 Reorder the terms: 64 + 1 + -8n = 121 Combine like terms: 64 + 1 = 65 65 + -8n = 121 Solving 65 + -8n = 121 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -8n = 121 + -65 Combine like terms: 65 + -65 = 0 0 + -8n = 121 + -65 -8n = 121 + -65 Combine like terms: 121 + -65 = 56 -8n = 56 Divide each side by '-8'. n = -7 Simplifying n = -7
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