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Simplifying 0.5h + 0.3(h + -6) = 0.83h + 2 Reorder the terms: 0.5h + 0.3(-6 + h) = 0.83h + 2 0.5h + (-6 * 0.3 + h * 0.3) = 0.83h + 2 0.5h + (-1.8 + 0.3h) = 0.83h + 2 Reorder the terms: -1.8 + 0.5h + 0.3h = 0.83h + 2 Combine like terms: 0.5h + 0.3h = 0.8h -1.8 + 0.8h = 0.83h + 2 Reorder the terms: -1.8 + 0.8h = 2 + 0.83h Solving -1.8 + 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. -1.8 + 0.8h + -0.83h = 2 + 0.83h + -0.83h Combine like terms: 0.8h + -0.83h = -0.03h -1.8 + -0.03h = 2 + 0.83h + -0.83h Combine like terms: 0.83h + -0.83h = 0.00 -1.8 + -0.03h = 2 + 0.00 -1.8 + -0.03h = 2 Add '1.8' to each side of the equation. -1.8 + 1.8 + -0.03h = 2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -0.03h = 2 + 1.8 -0.03h = 2 + 1.8 Combine like terms: 2 + 1.8 = 3.8 -0.03h = 3.8 Divide each side by '-0.03'. h = -126.6666667 Simplifying h = -126.6666667
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