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Simplifying -6h + -5 + 7h = 3h + -9 Reorder the terms: -5 + -6h + 7h = 3h + -9 Combine like terms: -6h + 7h = 1h -5 + 1h = 3h + -9 Reorder the terms: -5 + 1h = -9 + 3h Solving -5 + 1h = -9 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. -5 + 1h + -3h = -9 + 3h + -3h Combine like terms: 1h + -3h = -2h -5 + -2h = -9 + 3h + -3h Combine like terms: 3h + -3h = 0 -5 + -2h = -9 + 0 -5 + -2h = -9 Add '5' to each side of the equation. -5 + 5 + -2h = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -2h = -9 + 5 -2h = -9 + 5 Combine like terms: -9 + 5 = -4 -2h = -4 Divide each side by '-2'. h = 2 Simplifying h = 2
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