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Simplifying 117 = 0.5h(4 + 9) Combine like terms: 4 + 9 = 13 117 = 0.5h(13) Reorder the terms for easier multiplication: 117 = 0.5 * 13h Multiply 0.5 * 13 117 = 6.5h Solving 117 = 6.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6.5h' to each side of the equation. 117 + -6.5h = 6.5h + -6.5h Combine like terms: 6.5h + -6.5h = 0.0 117 + -6.5h = 0.0 Add '-117' to each side of the equation. 117 + -117 + -6.5h = 0.0 + -117 Combine like terms: 117 + -117 = 0 0 + -6.5h = 0.0 + -117 -6.5h = 0.0 + -117 Combine like terms: 0.0 + -117 = -117 -6.5h = -117 Divide each side by '-6.5'. h = 18 Simplifying h = 18
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