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Simplifying 8h + 12 + -4h = 33 + 2h + 8 Reorder the terms: 12 + 8h + -4h = 33 + 2h + 8 Combine like terms: 8h + -4h = 4h 12 + 4h = 33 + 2h + 8 Reorder the terms: 12 + 4h = 33 + 8 + 2h Combine like terms: 33 + 8 = 41 12 + 4h = 41 + 2h Solving 12 + 4h = 41 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. 12 + 4h + -2h = 41 + 2h + -2h Combine like terms: 4h + -2h = 2h 12 + 2h = 41 + 2h + -2h Combine like terms: 2h + -2h = 0 12 + 2h = 41 + 0 12 + 2h = 41 Add '-12' to each side of the equation. 12 + -12 + 2h = 41 + -12 Combine like terms: 12 + -12 = 0 0 + 2h = 41 + -12 2h = 41 + -12 Combine like terms: 41 + -12 = 29 2h = 29 Divide each side by '2'. h = 14.5 Simplifying h = 14.5
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