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Simplifying 2h + 9 = -2 + 3(3h + 6) Reorder the terms: 9 + 2h = -2 + 3(3h + 6) Reorder the terms: 9 + 2h = -2 + 3(6 + 3h) 9 + 2h = -2 + (6 * 3 + 3h * 3) 9 + 2h = -2 + (18 + 9h) Combine like terms: -2 + 18 = 16 9 + 2h = 16 + 9h Solving 9 + 2h = 16 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. 9 + 2h + -9h = 16 + 9h + -9h Combine like terms: 2h + -9h = -7h 9 + -7h = 16 + 9h + -9h Combine like terms: 9h + -9h = 0 9 + -7h = 16 + 0 9 + -7h = 16 Add '-9' to each side of the equation. 9 + -9 + -7h = 16 + -9 Combine like terms: 9 + -9 = 0 0 + -7h = 16 + -9 -7h = 16 + -9 Combine like terms: 16 + -9 = 7 -7h = 7 Divide each side by '-7'. h = -1 Simplifying h = -1
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