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Simplifying 38 + 7h = 8(h + 4) Reorder the terms: 38 + 7h = 8(4 + h) 38 + 7h = (4 * 8 + h * 8) 38 + 7h = (32 + 8h) Solving 38 + 7h = 32 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 38 + 7h + -8h = 32 + 8h + -8h Combine like terms: 7h + -8h = -1h 38 + -1h = 32 + 8h + -8h Combine like terms: 8h + -8h = 0 38 + -1h = 32 + 0 38 + -1h = 32 Add '-38' to each side of the equation. 38 + -38 + -1h = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -1h = 32 + -38 -1h = 32 + -38 Combine like terms: 32 + -38 = -6 -1h = -6 Divide each side by '-1'. h = 6 Simplifying h = 6
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