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Simplifying (2h + 7) + -1(h + 6) + 3h = 9 Reorder the terms: (7 + 2h) + -1(h + 6) + 3h = 9 Remove parenthesis around (7 + 2h) 7 + 2h + -1(h + 6) + 3h = 9 Reorder the terms: 7 + 2h + -1(6 + h) + 3h = 9 7 + 2h + (6 * -1 + h * -1) + 3h = 9 7 + 2h + (-6 + -1h) + 3h = 9 Reorder the terms: 7 + -6 + 2h + -1h + 3h = 9 Combine like terms: 7 + -6 = 1 1 + 2h + -1h + 3h = 9 Combine like terms: 2h + -1h = 1h 1 + 1h + 3h = 9 Combine like terms: 1h + 3h = 4h 1 + 4h = 9 Solving 1 + 4h = 9 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4h = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4h = 9 + -1 4h = 9 + -1 Combine like terms: 9 + -1 = 8 4h = 8 Divide each side by '4'. h = 2 Simplifying h = 2
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