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Simplifying 6(4h + -6) = 3(6h + -1) Reorder the terms: 6(-6 + 4h) = 3(6h + -1) (-6 * 6 + 4h * 6) = 3(6h + -1) (-36 + 24h) = 3(6h + -1) Reorder the terms: -36 + 24h = 3(-1 + 6h) -36 + 24h = (-1 * 3 + 6h * 3) -36 + 24h = (-3 + 18h) Solving -36 + 24h = -3 + 18h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18h' to each side of the equation. -36 + 24h + -18h = -3 + 18h + -18h Combine like terms: 24h + -18h = 6h -36 + 6h = -3 + 18h + -18h Combine like terms: 18h + -18h = 0 -36 + 6h = -3 + 0 -36 + 6h = -3 Add '36' to each side of the equation. -36 + 36 + 6h = -3 + 36 Combine like terms: -36 + 36 = 0 0 + 6h = -3 + 36 6h = -3 + 36 Combine like terms: -3 + 36 = 33 6h = 33 Divide each side by '6'. h = 5.5 Simplifying h = 5.5
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