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Simplifying 67 = 5(h + 8) + h Reorder the terms: 67 = 5(8 + h) + h 67 = (8 * 5 + h * 5) + h 67 = (40 + 5h) + h Combine like terms: 5h + h = 6h 67 = 40 + 6h Solving 67 = 40 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 67 + -6h = 40 + 6h + -6h Combine like terms: 6h + -6h = 0 67 + -6h = 40 + 0 67 + -6h = 40 Add '-67' to each side of the equation. 67 + -67 + -6h = 40 + -67 Combine like terms: 67 + -67 = 0 0 + -6h = 40 + -67 -6h = 40 + -67 Combine like terms: 40 + -67 = -27 -6h = -27 Divide each side by '-6'. h = 4.5 Simplifying h = 4.5
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