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Simplifying 0.2h + 4 = 0.6h + 8 Reorder the terms: 4 + 0.2h = 0.6h + 8 Reorder the terms: 4 + 0.2h = 8 + 0.6h Solving 4 + 0.2h = 8 + 0.6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.6h' to each side of the equation. 4 + 0.2h + -0.6h = 8 + 0.6h + -0.6h Combine like terms: 0.2h + -0.6h = -0.4h 4 + -0.4h = 8 + 0.6h + -0.6h Combine like terms: 0.6h + -0.6h = 0.0 4 + -0.4h = 8 + 0.0 4 + -0.4h = 8 Add '-4' to each side of the equation. 4 + -4 + -0.4h = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -0.4h = 8 + -4 -0.4h = 8 + -4 Combine like terms: 8 + -4 = 4 -0.4h = 4 Divide each side by '-0.4'. h = -10 Simplifying h = -10
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