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Simplifying 0.25h + 9 = 0.75h + -7 Reorder the terms: 9 + 0.25h = 0.75h + -7 Reorder the terms: 9 + 0.25h = -7 + 0.75h Solving 9 + 0.25h = -7 + 0.75h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.75h' to each side of the equation. 9 + 0.25h + -0.75h = -7 + 0.75h + -0.75h Combine like terms: 0.25h + -0.75h = -0.5h 9 + -0.5h = -7 + 0.75h + -0.75h Combine like terms: 0.75h + -0.75h = 0.00 9 + -0.5h = -7 + 0.00 9 + -0.5h = -7 Add '-9' to each side of the equation. 9 + -9 + -0.5h = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -0.5h = -7 + -9 -0.5h = -7 + -9 Combine like terms: -7 + -9 = -16 -0.5h = -16 Divide each side by '-0.5'. h = 32 Simplifying h = 32
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