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Simplifying 24h + -1(5h + 6) = 27h + 3 Reorder the terms: 24h + -1(6 + 5h) = 27h + 3 24h + (6 * -1 + 5h * -1) = 27h + 3 24h + (-6 + -5h) = 27h + 3 Reorder the terms: -6 + 24h + -5h = 27h + 3 Combine like terms: 24h + -5h = 19h -6 + 19h = 27h + 3 Reorder the terms: -6 + 19h = 3 + 27h Solving -6 + 19h = 3 + 27h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-27h' to each side of the equation. -6 + 19h + -27h = 3 + 27h + -27h Combine like terms: 19h + -27h = -8h -6 + -8h = 3 + 27h + -27h Combine like terms: 27h + -27h = 0 -6 + -8h = 3 + 0 -6 + -8h = 3 Add '6' to each side of the equation. -6 + 6 + -8h = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -8h = 3 + 6 -8h = 3 + 6 Combine like terms: 3 + 6 = 9 -8h = 9 Divide each side by '-8'. h = -1.125 Simplifying h = -1.125
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