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Simplifying 81.4 = 2(4 * 5 + h * 5 + 4h) Multiply 4 * 5 81.4 = 2(20 + h * 5 + 4h) Reorder the terms for easier multiplication: 81.4 = 2(20 + 5h + 4h) Combine like terms: 5h + 4h = 9h 81.4 = 2(20 + 9h) 81.4 = (20 * 2 + 9h * 2) 81.4 = (40 + 18h) Solving 81.4 = 40 + 18h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18h' to each side of the equation. 81.4 + -18h = 40 + 18h + -18h Combine like terms: 18h + -18h = 0 81.4 + -18h = 40 + 0 81.4 + -18h = 40 Add '-81.4' to each side of the equation. 81.4 + -81.4 + -18h = 40 + -81.4 Combine like terms: 81.4 + -81.4 = 0.0 0.0 + -18h = 40 + -81.4 -18h = 40 + -81.4 Combine like terms: 40 + -81.4 = -41.4 -18h = -41.4 Divide each side by '-18'. h = 2.3 Simplifying h = 2.3
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