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Simplifying 10 + -4h + 2 + 5h = -12 + 9h Reorder the terms: 10 + 2 + -4h + 5h = -12 + 9h Combine like terms: 10 + 2 = 12 12 + -4h + 5h = -12 + 9h Combine like terms: -4h + 5h = 1h 12 + 1h = -12 + 9h Solving 12 + 1h = -12 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. 12 + 1h + -9h = -12 + 9h + -9h Combine like terms: 1h + -9h = -8h 12 + -8h = -12 + 9h + -9h Combine like terms: 9h + -9h = 0 12 + -8h = -12 + 0 12 + -8h = -12 Add '-12' to each side of the equation. 12 + -12 + -8h = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8h = -12 + -12 -8h = -12 + -12 Combine like terms: -12 + -12 = -24 -8h = -24 Divide each side by '-8'. h = 3 Simplifying h = 3
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