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Simplifying 0.5h + 0.333333(h + -6) = 0.8333333 + 2 Reorder the terms: 0.5h + 0.333333(-6 + h) = 0.8333333 + 2 0.5h + (-6 * 0.333333 + h * 0.333333) = 0.8333333 + 2 0.5h + (-1.999998 + 0.333333h) = 0.8333333 + 2 Reorder the terms: -1.999998 + 0.5h + 0.333333h = 0.8333333 + 2 Combine like terms: 0.5h + 0.333333h = 0.833333h -1.999998 + 0.833333h = 0.8333333 + 2 Combine like terms: 0.8333333 + 2 = 2.8333333 -1.999998 + 0.833333h = 2.8333333 Solving -1.999998 + 0.833333h = 2.8333333 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '1.999998' to each side of the equation. -1.999998 + 1.999998 + 0.833333h = 2.8333333 + 1.999998 Combine like terms: -1.999998 + 1.999998 = 0.000000 0.000000 + 0.833333h = 2.8333333 + 1.999998 0.833333h = 2.8333333 + 1.999998 Combine like terms: 2.8333333 + 1.999998 = 4.8333313 0.833333h = 4.8333313 Divide each side by '0.833333'. h = 5.79999988 Simplifying h = 5.79999988
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