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Simplifying 3(4h + 6) + 2(-6h + 9) = (h + 2) Reorder the terms: 3(6 + 4h) + 2(-6h + 9) = (h + 2) (6 * 3 + 4h * 3) + 2(-6h + 9) = (h + 2) (18 + 12h) + 2(-6h + 9) = (h + 2) Reorder the terms: 18 + 12h + 2(9 + -6h) = (h + 2) 18 + 12h + (9 * 2 + -6h * 2) = (h + 2) 18 + 12h + (18 + -12h) = (h + 2) Reorder the terms: 18 + 18 + 12h + -12h = (h + 2) Combine like terms: 18 + 18 = 36 36 + 12h + -12h = (h + 2) Combine like terms: 12h + -12h = 0 36 + 0 = (h + 2) 36 = (h + 2) Reorder the terms: 36 = (2 + h) Remove parenthesis around (2 + h) 36 = 2 + h Solving 36 = 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. 36 + -1h = 2 + h + -1h Combine like terms: h + -1h = 0 36 + -1h = 2 + 0 36 + -1h = 2 Add '-36' to each side of the equation. 36 + -36 + -1h = 2 + -36 Combine like terms: 36 + -36 = 0 0 + -1h = 2 + -36 -1h = 2 + -36 Combine like terms: 2 + -36 = -34 -1h = -34 Divide each side by '-1'. h = 34 Simplifying h = 34
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