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Simplifying -6(4h + 3) = 23 + -5h Reorder the terms: -6(3 + 4h) = 23 + -5h (3 * -6 + 4h * -6) = 23 + -5h (-18 + -24h) = 23 + -5h Solving -18 + -24h = 23 + -5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '5h' to each side of the equation. -18 + -24h + 5h = 23 + -5h + 5h Combine like terms: -24h + 5h = -19h -18 + -19h = 23 + -5h + 5h Combine like terms: -5h + 5h = 0 -18 + -19h = 23 + 0 -18 + -19h = 23 Add '18' to each side of the equation. -18 + 18 + -19h = 23 + 18 Combine like terms: -18 + 18 = 0 0 + -19h = 23 + 18 -19h = 23 + 18 Combine like terms: 23 + 18 = 41 -19h = 41 Divide each side by '-19'. h = -2.157894737 Simplifying h = -2.157894737
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