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Simplifying 0.5h + 0.4(h + -6) = 0.84h + 2 Reorder the terms: 0.5h + 0.4(-6 + h) = 0.84h + 2 0.5h + (-6 * 0.4 + h * 0.4) = 0.84h + 2 0.5h + (-2.4 + 0.4h) = 0.84h + 2 Reorder the terms: -2.4 + 0.5h + 0.4h = 0.84h + 2 Combine like terms: 0.5h + 0.4h = 0.9h -2.4 + 0.9h = 0.84h + 2 Reorder the terms: -2.4 + 0.9h = 2 + 0.84h Solving -2.4 + 0.9h = 2 + 0.84h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.84h' to each side of the equation. -2.4 + 0.9h + -0.84h = 2 + 0.84h + -0.84h Combine like terms: 0.9h + -0.84h = 0.06h -2.4 + 0.06h = 2 + 0.84h + -0.84h Combine like terms: 0.84h + -0.84h = 0.00 -2.4 + 0.06h = 2 + 0.00 -2.4 + 0.06h = 2 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.06h = 2 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.06h = 2 + 2.4 0.06h = 2 + 2.4 Combine like terms: 2 + 2.4 = 4.4 0.06h = 4.4 Divide each side by '0.06'. h = 73.33333333 Simplifying h = 73.33333333
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