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Simplifying 0.2(10h + 1) = 4h + 0.2 Reorder the terms: 0.2(1 + 10h) = 4h + 0.2 (1 * 0.2 + 10h * 0.2) = 4h + 0.2 (0.2 + 2h) = 4h + 0.2 Reorder the terms: 0.2 + 2h = 0.2 + 4h Add '-0.2' to each side of the equation. 0.2 + -0.2 + 2h = 0.2 + -0.2 + 4h Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 2h = 0.2 + -0.2 + 4h 2h = 0.2 + -0.2 + 4h Combine like terms: 0.2 + -0.2 = 0.0 2h = 0.0 + 4h 2h = 4h Solving 2h = 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 2h + -4h = 4h + -4h Combine like terms: 2h + -4h = -2h -2h = 4h + -4h Combine like terms: 4h + -4h = 0 -2h = 0 Divide each side by '-2'. h = 0 Simplifying h = 0
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