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Simplifying 0.5h + 0.3h + -2 = 0.83h + 2 Reorder the terms: -2 + 0.5h + 0.3h = 0.83h + 2 Combine like terms: 0.5h + 0.3h = 0.8h -2 + 0.8h = 0.83h + 2 Reorder the terms: -2 + 0.8h = 2 + 0.83h Solving -2 + 0.8h = 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. -2 + 0.8h + -0.83h = 2 + 0.83h + -0.83h Combine like terms: 0.8h + -0.83h = -0.03h -2 + -0.03h = 2 + 0.83h + -0.83h Combine like terms: 0.83h + -0.83h = 0.00 -2 + -0.03h = 2 + 0.00 -2 + -0.03h = 2 Add '2' to each side of the equation. -2 + 2 + -0.03h = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -0.03h = 2 + 2 -0.03h = 2 + 2 Combine like terms: 2 + 2 = 4 -0.03h = 4 Divide each side by '-0.03'. h = -133.3333333 Simplifying h = -133.3333333
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