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Simplifying 3(30 + h) = 4(h + 19) (30 * 3 + h * 3) = 4(h + 19) (90 + 3h) = 4(h + 19) Reorder the terms: 90 + 3h = 4(19 + h) 90 + 3h = (19 * 4 + h * 4) 90 + 3h = (76 + 4h) Solving 90 + 3h = 76 + 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. 90 + 3h + -4h = 76 + 4h + -4h Combine like terms: 3h + -4h = -1h 90 + -1h = 76 + 4h + -4h Combine like terms: 4h + -4h = 0 90 + -1h = 76 + 0 90 + -1h = 76 Add '-90' to each side of the equation. 90 + -90 + -1h = 76 + -90 Combine like terms: 90 + -90 = 0 0 + -1h = 76 + -90 -1h = 76 + -90 Combine like terms: 76 + -90 = -14 -1h = -14 Divide each side by '-1'. h = 14 Simplifying h = 14
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