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Simplifying 2(6h + -12) + 14h = 34h + 10(2 + -3h) Reorder the terms: 2(-12 + 6h) + 14h = 34h + 10(2 + -3h) (-12 * 2 + 6h * 2) + 14h = 34h + 10(2 + -3h) (-24 + 12h) + 14h = 34h + 10(2 + -3h) Combine like terms: 12h + 14h = 26h -24 + 26h = 34h + 10(2 + -3h) -24 + 26h = 34h + (2 * 10 + -3h * 10) -24 + 26h = 34h + (20 + -30h) Reorder the terms: -24 + 26h = 20 + 34h + -30h Combine like terms: 34h + -30h = 4h -24 + 26h = 20 + 4h Solving -24 + 26h = 20 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -24 + 26h + -4h = 20 + 4h + -4h Combine like terms: 26h + -4h = 22h -24 + 22h = 20 + 4h + -4h Combine like terms: 4h + -4h = 0 -24 + 22h = 20 + 0 -24 + 22h = 20 Add '24' to each side of the equation. -24 + 24 + 22h = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 22h = 20 + 24 22h = 20 + 24 Combine like terms: 20 + 24 = 44 22h = 44 Divide each side by '22'. h = 2 Simplifying h = 2
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