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Simplifying 3(4h + 6) + 2(-6 + 9) = (h + 2) Reorder the terms: 3(6 + 4h) + 2(-6 + 9) = (h + 2) (6 * 3 + 4h * 3) + 2(-6 + 9) = (h + 2) (18 + 12h) + 2(-6 + 9) = (h + 2) Combine like terms: -6 + 9 = 3 18 + 12h + 2(3) = (h + 2) Multiply 2 * 3 18 + 12h + 6 = (h + 2) Reorder the terms: 18 + 6 + 12h = (h + 2) Combine like terms: 18 + 6 = 24 24 + 12h = (h + 2) Reorder the terms: 24 + 12h = (2 + h) Remove parenthesis around (2 + h) 24 + 12h = 2 + h Solving 24 + 12h = 2 + h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 24 + 12h + -1h = 2 + h + -1h Combine like terms: 12h + -1h = 11h 24 + 11h = 2 + h + -1h Combine like terms: h + -1h = 0 24 + 11h = 2 + 0 24 + 11h = 2 Add '-24' to each side of the equation. 24 + -24 + 11h = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 11h = 2 + -24 11h = 2 + -24 Combine like terms: 2 + -24 = -22 11h = -22 Divide each side by '11'. h = -2 Simplifying h = -2
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