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Simplifying 0.5h + 0.333(h + -6) = 0.83h + 2 Reorder the terms: 0.5h + 0.333(-6 + h) = 0.83h + 2 0.5h + (-6 * 0.333 + h * 0.333) = 0.83h + 2 0.5h + (-1.998 + 0.333h) = 0.83h + 2 Reorder the terms: -1.998 + 0.5h + 0.333h = 0.83h + 2 Combine like terms: 0.5h + 0.333h = 0.833h -1.998 + 0.833h = 0.83h + 2 Reorder the terms: -1.998 + 0.833h = 2 + 0.83h Solving -1.998 + 0.833h = 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. -1.998 + 0.833h + -0.83h = 2 + 0.83h + -0.83h Combine like terms: 0.833h + -0.83h = 0.003h -1.998 + 0.003h = 2 + 0.83h + -0.83h Combine like terms: 0.83h + -0.83h = 0.00 -1.998 + 0.003h = 2 + 0.00 -1.998 + 0.003h = 2 Add '1.998' to each side of the equation. -1.998 + 1.998 + 0.003h = 2 + 1.998 Combine like terms: -1.998 + 1.998 = 0.000 0.000 + 0.003h = 2 + 1.998 0.003h = 2 + 1.998 Combine like terms: 2 + 1.998 = 3.998 0.003h = 3.998 Divide each side by '0.003'. h = 1332.666667 Simplifying h = 1332.666667
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