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Simplifying -12 = -2h + 0.2(20 + h) -12 = -2h + (20 * 0.2 + h * 0.2) -12 = -2h + (4 + 0.2h) Reorder the terms: -12 = 4 + -2h + 0.2h Combine like terms: -2h + 0.2h = -1.8h -12 = 4 + -1.8h Solving -12 = 4 + -1.8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '1.8h' to each side of the equation. -12 + 1.8h = 4 + -1.8h + 1.8h Combine like terms: -1.8h + 1.8h = 0.0 -12 + 1.8h = 4 + 0.0 -12 + 1.8h = 4 Add '12' to each side of the equation. -12 + 12 + 1.8h = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 1.8h = 4 + 12 1.8h = 4 + 12 Combine like terms: 4 + 12 = 16 1.8h = 16 Divide each side by '1.8'. h = 8.888888889 Simplifying h = 8.888888889
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