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Simplifying 8(n + 6) = 72 + -4(n + -3) Reorder the terms: 8(6 + n) = 72 + -4(n + -3) (6 * 8 + n * 8) = 72 + -4(n + -3) (48 + 8n) = 72 + -4(n + -3) Reorder the terms: 48 + 8n = 72 + -4(-3 + n) 48 + 8n = 72 + (-3 * -4 + n * -4) 48 + 8n = 72 + (12 + -4n) Combine like terms: 72 + 12 = 84 48 + 8n = 84 + -4n Solving 48 + 8n = 84 + -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 = 84 + -4n + 4n Combine like terms: 8n + 4n = 12n 48 + 12n = 84 + -4n + 4n Combine like terms: -4n + 4n = 0 48 + 12n = 84 + 0 48 + 12n = 84 Add '-48' to each side of the equation. 48 + -48 + 12n = 84 + -48 Combine like terms: 48 + -48 = 0 0 + 12n = 84 + -48 12n = 84 + -48 Combine like terms: 84 + -48 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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