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Simplifying -32 = 9 + 8(n + 7) Reorder the terms: -32 = 9 + 8(7 + n) -32 = 9 + (7 * 8 + n * 8) -32 = 9 + (56 + 8n) Combine like terms: 9 + 56 = 65 -32 = 65 + 8n Solving -32 = 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. -32 + -8n = 65 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -8n = 65 + 0 -32 + -8n = 65 Add '32' to each side of the equation. -32 + 32 + -8n = 65 + 32 Combine like terms: -32 + 32 = 0 0 + -8n = 65 + 32 -8n = 65 + 32 Combine like terms: 65 + 32 = 97 -8n = 97 Divide each side by '-8'. n = -12.125 Simplifying n = -12.125
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