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Simplifying 0.5h + 77 = 0.66(6h + -84) Reorder the terms: 77 + 0.5h = 0.66(6h + -84) Reorder the terms: 77 + 0.5h = 0.66(-84 + 6h) 77 + 0.5h = (-84 * 0.66 + 6h * 0.66) 77 + 0.5h = (-55.44 + 3.96h) Solving 77 + 0.5h = -55.44 + 3.96h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3.96h' to each side of the equation. 77 + 0.5h + -3.96h = -55.44 + 3.96h + -3.96h Combine like terms: 0.5h + -3.96h = -3.46h 77 + -3.46h = -55.44 + 3.96h + -3.96h Combine like terms: 3.96h + -3.96h = 0.00 77 + -3.46h = -55.44 + 0.00 77 + -3.46h = -55.44 Add '-77' to each side of the equation. 77 + -77 + -3.46h = -55.44 + -77 Combine like terms: 77 + -77 = 0 0 + -3.46h = -55.44 + -77 -3.46h = -55.44 + -77 Combine like terms: -55.44 + -77 = -132.44 -3.46h = -132.44 Divide each side by '-3.46'. h = 38.27745665 Simplifying h = 38.27745665
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