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Simplifying 3(h + 7) = 2(h + 5) Reorder the terms: 3(7 + h) = 2(h + 5) (7 * 3 + h * 3) = 2(h + 5) (21 + 3h) = 2(h + 5) Reorder the terms: 21 + 3h = 2(5 + h) 21 + 3h = (5 * 2 + h * 2) 21 + 3h = (10 + 2h) Solving 21 + 3h = 10 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. 21 + 3h + -2h = 10 + 2h + -2h Combine like terms: 3h + -2h = 1h 21 + 1h = 10 + 2h + -2h Combine like terms: 2h + -2h = 0 21 + 1h = 10 + 0 21 + 1h = 10 Add '-21' to each side of the equation. 21 + -21 + 1h = 10 + -21 Combine like terms: 21 + -21 = 0 0 + 1h = 10 + -21 1h = 10 + -21 Combine like terms: 10 + -21 = -11 1h = -11 Divide each side by '1'. h = -11 Simplifying h = -11
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