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Simplifying 23 = 8 + 7(h + 2) Reorder the terms: 23 = 8 + 7(2 + h) 23 = 8 + (2 * 7 + h * 7) 23 = 8 + (14 + 7h) Combine like terms: 8 + 14 = 22 23 = 22 + 7h Solving 23 = 22 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. 23 + -7h = 22 + 7h + -7h Combine like terms: 7h + -7h = 0 23 + -7h = 22 + 0 23 + -7h = 22 Add '-23' to each side of the equation. 23 + -23 + -7h = 22 + -23 Combine like terms: 23 + -23 = 0 0 + -7h = 22 + -23 -7h = 22 + -23 Combine like terms: 22 + -23 = -1 -7h = -1 Divide each side by '-7'. h = 0.1428571429 Simplifying h = 0.1428571429
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