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Simplifying 0.06(2h + -4) = 2.4 + 1.2h Reorder the terms: 0.06(-4 + 2h) = 2.4 + 1.2h (-4 * 0.06 + 2h * 0.06) = 2.4 + 1.2h (-0.24 + 0.12h) = 2.4 + 1.2h Solving -0.24 + 0.12h = 2.4 + 1.2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1.2h' to each side of the equation. -0.24 + 0.12h + -1.2h = 2.4 + 1.2h + -1.2h Combine like terms: 0.12h + -1.2h = -1.08h -0.24 + -1.08h = 2.4 + 1.2h + -1.2h Combine like terms: 1.2h + -1.2h = 0.0 -0.24 + -1.08h = 2.4 + 0.0 -0.24 + -1.08h = 2.4 Add '0.24' to each side of the equation. -0.24 + 0.24 + -1.08h = 2.4 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -1.08h = 2.4 + 0.24 -1.08h = 2.4 + 0.24 Combine like terms: 2.4 + 0.24 = 2.64 -1.08h = 2.64 Divide each side by '-1.08'. h = -2.444444444 Simplifying h = -2.444444444
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