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Simplifying 8(n + 6) = -36 + -4n Reorder the terms: 8(6 + n) = -36 + -4n (6 * 8 + n * 8) = -36 + -4n (48 + 8n) = -36 + -4n Solving 48 + 8n = -36 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 48 + 8n + 4n = -36 + -4n + 4n Combine like terms: 8n + 4n = 12n 48 + 12n = -36 + -4n + 4n Combine like terms: -4n + 4n = 0 48 + 12n = -36 + 0 48 + 12n = -36 Add '-48' to each side of the equation. 48 + -48 + 12n = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 12n = -36 + -48 12n = -36 + -48 Combine like terms: -36 + -48 = -84 12n = -84 Divide each side by '12'. n = -7 Simplifying n = -7
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