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Simplifying 0.5h + 0.333333333(h + -6) = 0.83h + 2 Reorder the terms: 0.5h + 0.333333333(-6 + h) = 0.83h + 2 0.5h + (-6 * 0.333333333 + h * 0.333333333) = 0.83h + 2 0.5h + (-1.999999998 + 0.333333333h) = 0.83h + 2 Reorder the terms: -1.999999998 + 0.5h + 0.333333333h = 0.83h + 2 Combine like terms: 0.5h + 0.333333333h = 0.833333333h -1.999999998 + 0.833333333h = 0.83h + 2 Reorder the terms: -1.999999998 + 0.833333333h = 2 + 0.83h Solving -1.999999998 + 0.833333333h = 2 + 0.83h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.83h' to each side of the equation. -1.999999998 + 0.833333333h + -0.83h = 2 + 0.83h + -0.83h Combine like terms: 0.833333333h + -0.83h = 0.003333333h -1.999999998 + 0.003333333h = 2 + 0.83h + -0.83h Combine like terms: 0.83h + -0.83h = 0.00 -1.999999998 + 0.003333333h = 2 + 0.00 -1.999999998 + 0.003333333h = 2 Add '1.999999998' to each side of the equation. -1.999999998 + 1.999999998 + 0.003333333h = 2 + 1.999999998 Combine like terms: -1.999999998 + 1.999999998 = 0.000000000 0.000000000 + 0.003333333h = 2 + 1.999999998 0.003333333h = 2 + 1.999999998 Combine like terms: 2 + 1.999999998 = 3.999999998 0.003333333h = 3.999999998 Divide each side by '0.003333333'. h = 1200.000119 Simplifying h = 1200.000119
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