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Simplifying 4(h + 8) = 17 + 7h Reorder the terms: 4(8 + h) = 17 + 7h (8 * 4 + h * 4) = 17 + 7h (32 + 4h) = 17 + 7h Solving 32 + 4h = 17 + 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. 32 + 4h + -7h = 17 + 7h + -7h Combine like terms: 4h + -7h = -3h 32 + -3h = 17 + 7h + -7h Combine like terms: 7h + -7h = 0 32 + -3h = 17 + 0 32 + -3h = 17 Add '-32' to each side of the equation. 32 + -32 + -3h = 17 + -32 Combine like terms: 32 + -32 = 0 0 + -3h = 17 + -32 -3h = 17 + -32 Combine like terms: 17 + -32 = -15 -3h = -15 Divide each side by '-3'. h = 5 Simplifying h = 5
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