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Simplifying 7(h + 2) + 7 = 3(h + 9) + 2h Reorder the terms: 7(2 + h) + 7 = 3(h + 9) + 2h (2 * 7 + h * 7) + 7 = 3(h + 9) + 2h (14 + 7h) + 7 = 3(h + 9) + 2h Reorder the terms: 14 + 7 + 7h = 3(h + 9) + 2h Combine like terms: 14 + 7 = 21 21 + 7h = 3(h + 9) + 2h Reorder the terms: 21 + 7h = 3(9 + h) + 2h 21 + 7h = (9 * 3 + h * 3) + 2h 21 + 7h = (27 + 3h) + 2h Combine like terms: 3h + 2h = 5h 21 + 7h = 27 + 5h Solving 21 + 7h = 27 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 21 + 7h + -5h = 27 + 5h + -5h Combine like terms: 7h + -5h = 2h 21 + 2h = 27 + 5h + -5h Combine like terms: 5h + -5h = 0 21 + 2h = 27 + 0 21 + 2h = 27 Add '-21' to each side of the equation. 21 + -21 + 2h = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 2h = 27 + -21 2h = 27 + -21 Combine like terms: 27 + -21 = 6 2h = 6 Divide each side by '2'. h = 3 Simplifying h = 3
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