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Simplifying 3(2 + -1h) = 2(4h + 14) (2 * 3 + -1h * 3) = 2(4h + 14) (6 + -3h) = 2(4h + 14) Reorder the terms: 6 + -3h = 2(14 + 4h) 6 + -3h = (14 * 2 + 4h * 2) 6 + -3h = (28 + 8h) Solving 6 + -3h = 28 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 6 + -3h + -8h = 28 + 8h + -8h Combine like terms: -3h + -8h = -11h 6 + -11h = 28 + 8h + -8h Combine like terms: 8h + -8h = 0 6 + -11h = 28 + 0 6 + -11h = 28 Add '-6' to each side of the equation. 6 + -6 + -11h = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -11h = 28 + -6 -11h = 28 + -6 Combine like terms: 28 + -6 = 22 -11h = 22 Divide each side by '-11'. h = -2 Simplifying h = -2
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