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Simplifying 0.4(h + -2) + 0.2 = 0.6h Reorder the terms: 0.4(-2 + h) + 0.2 = 0.6h (-2 * 0.4 + h * 0.4) + 0.2 = 0.6h (-0.8 + 0.4h) + 0.2 = 0.6h Reorder the terms: -0.8 + 0.2 + 0.4h = 0.6h Combine like terms: -0.8 + 0.2 = -0.6 -0.6 + 0.4h = 0.6h Solving -0.6 + 0.4h = 0.6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.6h' to each side of the equation. -0.6 + 0.4h + -0.6h = 0.6h + -0.6h Combine like terms: 0.4h + -0.6h = -0.2h -0.6 + -0.2h = 0.6h + -0.6h Combine like terms: 0.6h + -0.6h = 0.0 -0.6 + -0.2h = 0.0 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.2h = 0.0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.2h = 0.0 + 0.6 -0.2h = 0.0 + 0.6 Combine like terms: 0.0 + 0.6 = 0.6 -0.2h = 0.6 Divide each side by '-0.2'. h = -3 Simplifying h = -3
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