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Simplifying 0.5h + 0.33(h + -6) = 0.833h + 2 Reorder the terms: 0.5h + 0.33(-6 + h) = 0.833h + 2 0.5h + (-6 * 0.33 + h * 0.33) = 0.833h + 2 0.5h + (-1.98 + 0.33h) = 0.833h + 2 Reorder the terms: -1.98 + 0.5h + 0.33h = 0.833h + 2 Combine like terms: 0.5h + 0.33h = 0.83h -1.98 + 0.83h = 0.833h + 2 Reorder the terms: -1.98 + 0.83h = 2 + 0.833h Solving -1.98 + 0.83h = 2 + 0.833h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.833h' to each side of the equation. -1.98 + 0.83h + -0.833h = 2 + 0.833h + -0.833h Combine like terms: 0.83h + -0.833h = -0.003h -1.98 + -0.003h = 2 + 0.833h + -0.833h Combine like terms: 0.833h + -0.833h = 0.000 -1.98 + -0.003h = 2 + 0.000 -1.98 + -0.003h = 2 Add '1.98' to each side of the equation. -1.98 + 1.98 + -0.003h = 2 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + -0.003h = 2 + 1.98 -0.003h = 2 + 1.98 Combine like terms: 2 + 1.98 = 3.98 -0.003h = 3.98 Divide each side by '-0.003'. h = -1326.666667 Simplifying h = -1326.666667
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