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Simplifying 3(4h + -2) + -4h = 2h + 12 Reorder the terms: 3(-2 + 4h) + -4h = 2h + 12 (-2 * 3 + 4h * 3) + -4h = 2h + 12 (-6 + 12h) + -4h = 2h + 12 Combine like terms: 12h + -4h = 8h -6 + 8h = 2h + 12 Reorder the terms: -6 + 8h = 12 + 2h Solving -6 + 8h = 12 + 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. -6 + 8h + -2h = 12 + 2h + -2h Combine like terms: 8h + -2h = 6h -6 + 6h = 12 + 2h + -2h Combine like terms: 2h + -2h = 0 -6 + 6h = 12 + 0 -6 + 6h = 12 Add '6' to each side of the equation. -6 + 6 + 6h = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6h = 12 + 6 6h = 12 + 6 Combine like terms: 12 + 6 = 18 6h = 18 Divide each side by '6'. h = 3 Simplifying h = 3
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