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Simplifying 0.5h + 0.34(h + -6) = 0.84 + 2 Reorder the terms: 0.5h + 0.34(-6 + h) = 0.84 + 2 0.5h + (-6 * 0.34 + h * 0.34) = 0.84 + 2 0.5h + (-2.04 + 0.34h) = 0.84 + 2 Reorder the terms: -2.04 + 0.5h + 0.34h = 0.84 + 2 Combine like terms: 0.5h + 0.34h = 0.84h -2.04 + 0.84h = 0.84 + 2 Combine like terms: 0.84 + 2 = 2.84 -2.04 + 0.84h = 2.84 Solving -2.04 + 0.84h = 2.84 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2.04' to each side of the equation. -2.04 + 2.04 + 0.84h = 2.84 + 2.04 Combine like terms: -2.04 + 2.04 = 0.00 0.00 + 0.84h = 2.84 + 2.04 0.84h = 2.84 + 2.04 Combine like terms: 2.84 + 2.04 = 4.88 0.84h = 4.88 Divide each side by '0.84'. h = 5.80952381 Simplifying h = 5.80952381
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