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Simplifying 0.8(10h + -25) = 2(h + 2) Reorder the terms: 0.8(-25 + 10h) = 2(h + 2) (-25 * 0.8 + 10h * 0.8) = 2(h + 2) (-20 + 8h) = 2(h + 2) Reorder the terms: -20 + 8h = 2(2 + h) -20 + 8h = (2 * 2 + h * 2) -20 + 8h = (4 + 2h) Solving -20 + 8h = 4 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -20 + 8h + -2h = 4 + 2h + -2h Combine like terms: 8h + -2h = 6h -20 + 6h = 4 + 2h + -2h Combine like terms: 2h + -2h = 0 -20 + 6h = 4 + 0 -20 + 6h = 4 Add '20' to each side of the equation. -20 + 20 + 6h = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 6h = 4 + 20 6h = 4 + 20 Combine like terms: 4 + 20 = 24 6h = 24 Divide each side by '6'. h = 4 Simplifying h = 4
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