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Simplifying 3(4h + 2) = 2(h + -2) Reorder the terms: 3(2 + 4h) = 2(h + -2) (2 * 3 + 4h * 3) = 2(h + -2) (6 + 12h) = 2(h + -2) Reorder the terms: 6 + 12h = 2(-2 + h) 6 + 12h = (-2 * 2 + h * 2) 6 + 12h = (-4 + 2h) Solving 6 + 12h = -4 + 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 + 12h + -2h = -4 + 2h + -2h Combine like terms: 12h + -2h = 10h 6 + 10h = -4 + 2h + -2h Combine like terms: 2h + -2h = 0 6 + 10h = -4 + 0 6 + 10h = -4 Add '-6' to each side of the equation. 6 + -6 + 10h = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 10h = -4 + -6 10h = -4 + -6 Combine like terms: -4 + -6 = -10 10h = -10 Divide each side by '10'. h = -1 Simplifying h = -1
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