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Simplifying 33 + 5h = 2(6h + -3) Reorder the terms: 33 + 5h = 2(-3 + 6h) 33 + 5h = (-3 * 2 + 6h * 2) 33 + 5h = (-6 + 12h) Solving 33 + 5h = -6 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 33 + 5h + -12h = -6 + 12h + -12h Combine like terms: 5h + -12h = -7h 33 + -7h = -6 + 12h + -12h Combine like terms: 12h + -12h = 0 33 + -7h = -6 + 0 33 + -7h = -6 Add '-33' to each side of the equation. 33 + -33 + -7h = -6 + -33 Combine like terms: 33 + -33 = 0 0 + -7h = -6 + -33 -7h = -6 + -33 Combine like terms: -6 + -33 = -39 -7h = -39 Divide each side by '-7'. h = 5.571428571 Simplifying h = 5.571428571
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