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Simplifying -24 + 7h = 6(9h + -5) Reorder the terms: -24 + 7h = 6(-5 + 9h) -24 + 7h = (-5 * 6 + 9h * 6) -24 + 7h = (-30 + 54h) Solving -24 + 7h = -30 + 54h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-54h' to each side of the equation. -24 + 7h + -54h = -30 + 54h + -54h Combine like terms: 7h + -54h = -47h -24 + -47h = -30 + 54h + -54h Combine like terms: 54h + -54h = 0 -24 + -47h = -30 + 0 -24 + -47h = -30 Add '24' to each side of the equation. -24 + 24 + -47h = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -47h = -30 + 24 -47h = -30 + 24 Combine like terms: -30 + 24 = -6 -47h = -6 Divide each side by '-47'. h = 0.1276595745 Simplifying h = 0.1276595745
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