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Simplifying h + 8 = -6h + 43 Reorder the terms: 8 + h = -6h + 43 Reorder the terms: 8 + h = 43 + -6h Solving 8 + h = 43 + -6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6h' to each side of the equation. 8 + h + 6h = 43 + -6h + 6h Combine like terms: h + 6h = 7h 8 + 7h = 43 + -6h + 6h Combine like terms: -6h + 6h = 0 8 + 7h = 43 + 0 8 + 7h = 43 Add '-8' to each side of the equation. 8 + -8 + 7h = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 7h = 43 + -8 7h = 43 + -8 Combine like terms: 43 + -8 = 35 7h = 35 Divide each side by '7'. h = 5 Simplifying h = 5
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