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Simplifying -12h + 9h + -38 = 2h + -23 Reorder the terms: -38 + -12h + 9h = 2h + -23 Combine like terms: -12h + 9h = -3h -38 + -3h = 2h + -23 Reorder the terms: -38 + -3h = -23 + 2h Solving -38 + -3h = -23 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -38 + -3h + -2h = -23 + 2h + -2h Combine like terms: -3h + -2h = -5h -38 + -5h = -23 + 2h + -2h Combine like terms: 2h + -2h = 0 -38 + -5h = -23 + 0 -38 + -5h = -23 Add '38' to each side of the equation. -38 + 38 + -5h = -23 + 38 Combine like terms: -38 + 38 = 0 0 + -5h = -23 + 38 -5h = -23 + 38 Combine like terms: -23 + 38 = 15 -5h = 15 Divide each side by '-5'. h = -3 Simplifying h = -3
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