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Simplifying 0.2h + 3 = 0.6h + -7 Reorder the terms: 3 + 0.2h = 0.6h + -7 Reorder the terms: 3 + 0.2h = -7 + 0.6h Solving 3 + 0.2h = -7 + 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. 3 + 0.2h + -0.6h = -7 + 0.6h + -0.6h Combine like terms: 0.2h + -0.6h = -0.4h 3 + -0.4h = -7 + 0.6h + -0.6h Combine like terms: 0.6h + -0.6h = 0.0 3 + -0.4h = -7 + 0.0 3 + -0.4h = -7 Add '-3' to each side of the equation. 3 + -3 + -0.4h = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -0.4h = -7 + -3 -0.4h = -7 + -3 Combine like terms: -7 + -3 = -10 -0.4h = -10 Divide each side by '-0.4'. h = 25 Simplifying h = 25
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