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Simplifying 89(h + -1) = 6h + 4 + 2h Reorder the terms: 89(-1 + h) = 6h + 4 + 2h (-1 * 89 + h * 89) = 6h + 4 + 2h (-89 + 89h) = 6h + 4 + 2h Reorder the terms: -89 + 89h = 4 + 6h + 2h Combine like terms: 6h + 2h = 8h -89 + 89h = 4 + 8h Solving -89 + 89h = 4 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -89 + 89h + -8h = 4 + 8h + -8h Combine like terms: 89h + -8h = 81h -89 + 81h = 4 + 8h + -8h Combine like terms: 8h + -8h = 0 -89 + 81h = 4 + 0 -89 + 81h = 4 Add '89' to each side of the equation. -89 + 89 + 81h = 4 + 89 Combine like terms: -89 + 89 = 0 0 + 81h = 4 + 89 81h = 4 + 89 Combine like terms: 4 + 89 = 93 81h = 93 Divide each side by '81'. h = 1.148148148 Simplifying h = 1.148148148
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