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Simplifying 12h + 20 = 8(h + 6) Reorder the terms: 20 + 12h = 8(h + 6) Reorder the terms: 20 + 12h = 8(6 + h) 20 + 12h = (6 * 8 + h * 8) 20 + 12h = (48 + 8h) Solving 20 + 12h = 48 + 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. 20 + 12h + -8h = 48 + 8h + -8h Combine like terms: 12h + -8h = 4h 20 + 4h = 48 + 8h + -8h Combine like terms: 8h + -8h = 0 20 + 4h = 48 + 0 20 + 4h = 48 Add '-20' to each side of the equation. 20 + -20 + 4h = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 4h = 48 + -20 4h = 48 + -20 Combine like terms: 48 + -20 = 28 4h = 28 Divide each side by '4'. h = 7 Simplifying h = 7
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