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Simplifying 8(n + 7) + 4(n + -2) = 0 Reorder the terms: 8(7 + n) + 4(n + -2) = 0 (7 * 8 + n * 8) + 4(n + -2) = 0 (56 + 8n) + 4(n + -2) = 0 Reorder the terms: 56 + 8n + 4(-2 + n) = 0 56 + 8n + (-2 * 4 + n * 4) = 0 56 + 8n + (-8 + 4n) = 0 Reorder the terms: 56 + -8 + 8n + 4n = 0 Combine like terms: 56 + -8 = 48 48 + 8n + 4n = 0 Combine like terms: 8n + 4n = 12n 48 + 12n = 0 Solving 48 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 12n = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 12n = 0 + -48 12n = 0 + -48 Combine like terms: 0 + -48 = -48 12n = -48 Divide each side by '12'. n = -4 Simplifying n = -4
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