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Simplifying 0.4h + -7 = 2.4 + -2h + 3 Reorder the terms: -7 + 0.4h = 2.4 + -2h + 3 Reorder the terms: -7 + 0.4h = 2.4 + 3 + -2h Combine like terms: 2.4 + 3 = 5.4 -7 + 0.4h = 5.4 + -2h Solving -7 + 0.4h = 5.4 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. -7 + 0.4h + 2h = 5.4 + -2h + 2h Combine like terms: 0.4h + 2h = 2.4h -7 + 2.4h = 5.4 + -2h + 2h Combine like terms: -2h + 2h = 0 -7 + 2.4h = 5.4 + 0 -7 + 2.4h = 5.4 Add '7' to each side of the equation. -7 + 7 + 2.4h = 5.4 + 7 Combine like terms: -7 + 7 = 0 0 + 2.4h = 5.4 + 7 2.4h = 5.4 + 7 Combine like terms: 5.4 + 7 = 12.4 2.4h = 12.4 Divide each side by '2.4'. h = 5.166666667 Simplifying h = 5.166666667
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