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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 = -39 1h = -39 Divide each side by '1'. h = -39 Simplifying h = -39
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