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Simplifying 3(h + 1) = 2h + 7 Reorder the terms: 3(1 + h) = 2h + 7 (1 * 3 + h * 3) = 2h + 7 (3 + 3h) = 2h + 7 Reorder the terms: 3 + 3h = 7 + 2h Solving 3 + 3h = 7 + 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. 3 + 3h + -2h = 7 + 2h + -2h Combine like terms: 3h + -2h = 1h 3 + 1h = 7 + 2h + -2h Combine like terms: 2h + -2h = 0 3 + 1h = 7 + 0 3 + 1h = 7 Add '-3' to each side of the equation. 3 + -3 + 1h = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1h = 7 + -3 1h = 7 + -3 Combine like terms: 7 + -3 = 4 1h = 4 Divide each side by '1'. h = 4 Simplifying h = 4
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