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Simplifying -2h(-3 + 2g) = -4gh + 12h + -54 (-3 * -2h + 2g * -2h) = -4gh + 12h + -54 Reorder the terms: (-4gh + 6h) = -4gh + 12h + -54 (-4gh + 6h) = -4gh + 12h + -54 Reorder the terms: -4gh + 6h = -54 + -4gh + 12h Add '4gh' to each side of the equation. -4gh + 4gh + 6h = -54 + -4gh + 4gh + 12h Combine like terms: -4gh + 4gh = 0 0 + 6h = -54 + -4gh + 4gh + 12h 6h = -54 + -4gh + 4gh + 12h Combine like terms: -4gh + 4gh = 0 6h = -54 + 0 + 12h 6h = -54 + 12h Solving 6h = -54 + 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. 6h + -12h = -54 + 12h + -12h Combine like terms: 6h + -12h = -6h -6h = -54 + 12h + -12h Combine like terms: 12h + -12h = 0 -6h = -54 + 0 -6h = -54 Divide each side by '-6'. h = 9 Simplifying h = 9
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