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Simplifying 9 + h * 4 = 9.5 + h * 8.5 Reorder the terms for easier multiplication: 9 + 4h = 9.5 + h * 8.5 Reorder the terms for easier multiplication: 9 + 4h = 9.5 + 8.5h Solving 9 + 4h = 9.5 + 8.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8.5h' to each side of the equation. 9 + 4h + -8.5h = 9.5 + 8.5h + -8.5h Combine like terms: 4h + -8.5h = -4.5h 9 + -4.5h = 9.5 + 8.5h + -8.5h Combine like terms: 8.5h + -8.5h = 0.0 9 + -4.5h = 9.5 + 0.0 9 + -4.5h = 9.5 Add '-9' to each side of the equation. 9 + -9 + -4.5h = 9.5 + -9 Combine like terms: 9 + -9 = 0 0 + -4.5h = 9.5 + -9 -4.5h = 9.5 + -9 Combine like terms: 9.5 + -9 = 0.5 -4.5h = 0.5 Divide each side by '-4.5'. h = -0.1111111111 Simplifying h = -0.1111111111
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