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Simplifying 3(2h + 7) = 4(h + -6) Reorder the terms: 3(7 + 2h) = 4(h + -6) (7 * 3 + 2h * 3) = 4(h + -6) (21 + 6h) = 4(h + -6) Reorder the terms: 21 + 6h = 4(-6 + h) 21 + 6h = (-6 * 4 + h * 4) 21 + 6h = (-24 + 4h) Solving 21 + 6h = -24 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 21 + 6h + -4h = -24 + 4h + -4h Combine like terms: 6h + -4h = 2h 21 + 2h = -24 + 4h + -4h Combine like terms: 4h + -4h = 0 21 + 2h = -24 + 0 21 + 2h = -24 Add '-21' to each side of the equation. 21 + -21 + 2h = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 2h = -24 + -21 2h = -24 + -21 Combine like terms: -24 + -21 = -45 2h = -45 Divide each side by '2'. h = -22.5 Simplifying h = -22.5
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