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Simplifying 2h + -9 = -3(h + -6) Reorder the terms: -9 + 2h = -3(h + -6) Reorder the terms: -9 + 2h = -3(-6 + h) -9 + 2h = (-6 * -3 + h * -3) -9 + 2h = (18 + -3h) Solving -9 + 2h = 18 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. -9 + 2h + 3h = 18 + -3h + 3h Combine like terms: 2h + 3h = 5h -9 + 5h = 18 + -3h + 3h Combine like terms: -3h + 3h = 0 -9 + 5h = 18 + 0 -9 + 5h = 18 Add '9' to each side of the equation. -9 + 9 + 5h = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 5h = 18 + 9 5h = 18 + 9 Combine like terms: 18 + 9 = 27 5h = 27 Divide each side by '5'. h = 5.4 Simplifying h = 5.4
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