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Simplifying 7(h + 3) = 6(h + 3) Reorder the terms: 7(3 + h) = 6(h + 3) (3 * 7 + h * 7) = 6(h + 3) (21 + 7h) = 6(h + 3) Reorder the terms: 21 + 7h = 6(3 + h) 21 + 7h = (3 * 6 + h * 6) 21 + 7h = (18 + 6h) Solving 21 + 7h = 18 + 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. 21 + 7h + -6h = 18 + 6h + -6h Combine like terms: 7h + -6h = 1h 21 + 1h = 18 + 6h + -6h Combine like terms: 6h + -6h = 0 21 + 1h = 18 + 0 21 + 1h = 18 Add '-21' to each side of the equation. 21 + -21 + 1h = 18 + -21 Combine like terms: 21 + -21 = 0 0 + 1h = 18 + -21 1h = 18 + -21 Combine like terms: 18 + -21 = -3 1h = -3 Divide each side by '1'. h = -3 Simplifying h = -3
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