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Simplifying 0.08(4h + -3) + -0.04(5h + -2) = 0.2 Reorder the terms: 0.08(-3 + 4h) + -0.04(5h + -2) = 0.2 (-3 * 0.08 + 4h * 0.08) + -0.04(5h + -2) = 0.2 (-0.24 + 0.32h) + -0.04(5h + -2) = 0.2 Reorder the terms: -0.24 + 0.32h + -0.04(-2 + 5h) = 0.2 -0.24 + 0.32h + (-2 * -0.04 + 5h * -0.04) = 0.2 -0.24 + 0.32h + (0.08 + -0.2h) = 0.2 Reorder the terms: -0.24 + 0.08 + 0.32h + -0.2h = 0.2 Combine like terms: -0.24 + 0.08 = -0.16 -0.16 + 0.32h + -0.2h = 0.2 Combine like terms: 0.32h + -0.2h = 0.12h -0.16 + 0.12h = 0.2 Solving -0.16 + 0.12h = 0.2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.12h = 0.2 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.12h = 0.2 + 0.16 0.12h = 0.2 + 0.16 Combine like terms: 0.2 + 0.16 = 0.36 0.12h = 0.36 Divide each side by '0.12'. h = 3 Simplifying h = 3
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