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Simplifying 7 + -8(n + 6) = -97 Reorder the terms: 7 + -8(6 + n) = -97 7 + (6 * -8 + n * -8) = -97 7 + (-48 + -8n) = -97 Combine like terms: 7 + -48 = -41 -41 + -8n = -97 Solving -41 + -8n = -97 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -8n = -97 + 41 Combine like terms: -41 + 41 = 0 0 + -8n = -97 + 41 -8n = -97 + 41 Combine like terms: -97 + 41 = -56 -8n = -56 Divide each side by '-8'. n = 7 Simplifying n = 7
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