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Simplifying 2(2h + 1) + 3(4h + 7) = 0 Reorder the terms: 2(1 + 2h) + 3(4h + 7) = 0 (1 * 2 + 2h * 2) + 3(4h + 7) = 0 (2 + 4h) + 3(4h + 7) = 0 Reorder the terms: 2 + 4h + 3(7 + 4h) = 0 2 + 4h + (7 * 3 + 4h * 3) = 0 2 + 4h + (21 + 12h) = 0 Reorder the terms: 2 + 21 + 4h + 12h = 0 Combine like terms: 2 + 21 = 23 23 + 4h + 12h = 0 Combine like terms: 4h + 12h = 16h 23 + 16h = 0 Solving 23 + 16h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 16h = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 16h = 0 + -23 16h = 0 + -23 Combine like terms: 0 + -23 = -23 16h = -23 Divide each side by '16'. h = -1.4375 Simplifying h = -1.4375
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