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Simplifying 3(8h + 20) = 4(9h + 12) Reorder the terms: 3(20 + 8h) = 4(9h + 12) (20 * 3 + 8h * 3) = 4(9h + 12) (60 + 24h) = 4(9h + 12) Reorder the terms: 60 + 24h = 4(12 + 9h) 60 + 24h = (12 * 4 + 9h * 4) 60 + 24h = (48 + 36h) Solving 60 + 24h = 48 + 36h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-36h' to each side of the equation. 60 + 24h + -36h = 48 + 36h + -36h Combine like terms: 24h + -36h = -12h 60 + -12h = 48 + 36h + -36h Combine like terms: 36h + -36h = 0 60 + -12h = 48 + 0 60 + -12h = 48 Add '-60' to each side of the equation. 60 + -60 + -12h = 48 + -60 Combine like terms: 60 + -60 = 0 0 + -12h = 48 + -60 -12h = 48 + -60 Combine like terms: 48 + -60 = -12 -12h = -12 Divide each side by '-12'. h = 1 Simplifying h = 1
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