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Simplifying 5(h + 6) = 7h Reorder the terms: 5(6 + h) = 7h (6 * 5 + h * 5) = 7h (30 + 5h) = 7h Solving 30 + 5h = 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. 30 + 5h + -7h = 7h + -7h Combine like terms: 5h + -7h = -2h 30 + -2h = 7h + -7h Combine like terms: 7h + -7h = 0 30 + -2h = 0 Add '-30' to each side of the equation. 30 + -30 + -2h = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2h = 0 + -30 -2h = 0 + -30 Combine like terms: 0 + -30 = -30 -2h = -30 Divide each side by '-2'. h = 15 Simplifying h = 15
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