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Simplifying (0.8g + 0.6 + -0.3) = (0.1 + -0.2h + 0.8g) Reorder the terms: (0.6 + -0.3 + 0.8g) = (0.1 + -0.2h + 0.8g) Combine like terms: 0.6 + -0.3 = 0.3 (0.3 + 0.8g) = (0.1 + -0.2h + 0.8g) Remove parenthesis around (0.3 + 0.8g) 0.3 + 0.8g = (0.1 + -0.2h + 0.8g) Reorder the terms: 0.3 + 0.8g = (0.1 + 0.8g + -0.2h) Remove parenthesis around (0.1 + 0.8g + -0.2h) 0.3 + 0.8g = 0.1 + 0.8g + -0.2h Add '-0.8g' to each side of the equation. 0.3 + 0.8g + -0.8g = 0.1 + 0.8g + -0.8g + -0.2h Combine like terms: 0.8g + -0.8g = 0.0 0.3 + 0.0 = 0.1 + 0.8g + -0.8g + -0.2h 0.3 = 0.1 + 0.8g + -0.8g + -0.2h Combine like terms: 0.8g + -0.8g = 0.0 0.3 = 0.1 + 0.0 + -0.2h 0.3 = 0.1 + -0.2h Solving 0.3 = 0.1 + -0.2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '0.2h' to each side of the equation. 0.3 + 0.2h = 0.1 + -0.2h + 0.2h Combine like terms: -0.2h + 0.2h = 0.0 0.3 + 0.2h = 0.1 + 0.0 0.3 + 0.2h = 0.1 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.2h = 0.1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.2h = 0.1 + -0.3 0.2h = 0.1 + -0.3 Combine like terms: 0.1 + -0.3 = -0.2 0.2h = -0.2 Divide each side by '0.2'. h = -1 Simplifying h = -1
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