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Simplifying 6(5h + 9.5) = -20.5 + -7h Reorder the terms: 6(9.5 + 5h) = -20.5 + -7h (9.5 * 6 + 5h * 6) = -20.5 + -7h (57 + 30h) = -20.5 + -7h Solving 57 + 30h = -20.5 + -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. 57 + 30h + 7h = -20.5 + -7h + 7h Combine like terms: 30h + 7h = 37h 57 + 37h = -20.5 + -7h + 7h Combine like terms: -7h + 7h = 0 57 + 37h = -20.5 + 0 57 + 37h = -20.5 Add '-57' to each side of the equation. 57 + -57 + 37h = -20.5 + -57 Combine like terms: 57 + -57 = 0 0 + 37h = -20.5 + -57 37h = -20.5 + -57 Combine like terms: -20.5 + -57 = -77.5 37h = -77.5 Divide each side by '37'. h = -2.094594595 Simplifying h = -2.094594595
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