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Simplifying 4(8h + 20) + 24h = 4(h + -6) Reorder the terms: 4(20 + 8h) + 24h = 4(h + -6) (20 * 4 + 8h * 4) + 24h = 4(h + -6) (80 + 32h) + 24h = 4(h + -6) Combine like terms: 32h + 24h = 56h 80 + 56h = 4(h + -6) Reorder the terms: 80 + 56h = 4(-6 + h) 80 + 56h = (-6 * 4 + h * 4) 80 + 56h = (-24 + 4h) Solving 80 + 56h = -24 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 80 + 56h + -4h = -24 + 4h + -4h Combine like terms: 56h + -4h = 52h 80 + 52h = -24 + 4h + -4h Combine like terms: 4h + -4h = 0 80 + 52h = -24 + 0 80 + 52h = -24 Add '-80' to each side of the equation. 80 + -80 + 52h = -24 + -80 Combine like terms: 80 + -80 = 0 0 + 52h = -24 + -80 52h = -24 + -80 Combine like terms: -24 + -80 = -104 52h = -104 Divide each side by '52'. h = -2 Simplifying h = -2
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