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Simplifying 2(2h + 4) = 4(3h + -4) Reorder the terms: 2(4 + 2h) = 4(3h + -4) (4 * 2 + 2h * 2) = 4(3h + -4) (8 + 4h) = 4(3h + -4) Reorder the terms: 8 + 4h = 4(-4 + 3h) 8 + 4h = (-4 * 4 + 3h * 4) 8 + 4h = (-16 + 12h) Solving 8 + 4h = -16 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 8 + 4h + -12h = -16 + 12h + -12h Combine like terms: 4h + -12h = -8h 8 + -8h = -16 + 12h + -12h Combine like terms: 12h + -12h = 0 8 + -8h = -16 + 0 8 + -8h = -16 Add '-8' to each side of the equation. 8 + -8 + -8h = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -8h = -16 + -8 -8h = -16 + -8 Combine like terms: -16 + -8 = -24 -8h = -24 Divide each side by '-8'. h = 3 Simplifying h = 3
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