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Simplifying 6(h + -5 + 7) = 2h + 52 Reorder the terms: 6(-5 + 7 + h) = 2h + 52 Combine like terms: -5 + 7 = 2 6(2 + h) = 2h + 52 (2 * 6 + h * 6) = 2h + 52 (12 + 6h) = 2h + 52 Reorder the terms: 12 + 6h = 52 + 2h Solving 12 + 6h = 52 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. 12 + 6h + -2h = 52 + 2h + -2h Combine like terms: 6h + -2h = 4h 12 + 4h = 52 + 2h + -2h Combine like terms: 2h + -2h = 0 12 + 4h = 52 + 0 12 + 4h = 52 Add '-12' to each side of the equation. 12 + -12 + 4h = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 4h = 52 + -12 4h = 52 + -12 Combine like terms: 52 + -12 = 40 4h = 40 Divide each side by '4'. h = 10 Simplifying h = 10
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