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Simplifying 12h + 13 + -4h = 6h + 21 Reorder the terms: 13 + 12h + -4h = 6h + 21 Combine like terms: 12h + -4h = 8h 13 + 8h = 6h + 21 Reorder the terms: 13 + 8h = 21 + 6h Solving 13 + 8h = 21 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 13 + 8h + -6h = 21 + 6h + -6h Combine like terms: 8h + -6h = 2h 13 + 2h = 21 + 6h + -6h Combine like terms: 6h + -6h = 0 13 + 2h = 21 + 0 13 + 2h = 21 Add '-13' to each side of the equation. 13 + -13 + 2h = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 2h = 21 + -13 2h = 21 + -13 Combine like terms: 21 + -13 = 8 2h = 8 Divide each side by '2'. h = 4 Simplifying h = 4
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