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Simplifying -2h + 42 = 3h + -18 Reorder the terms: 42 + -2h = 3h + -18 Reorder the terms: 42 + -2h = -18 + 3h Solving 42 + -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. 42 + -2h + -3h = -18 + 3h + -3h Combine like terms: -2h + -3h = -5h 42 + -5h = -18 + 3h + -3h Combine like terms: 3h + -3h = 0 42 + -5h = -18 + 0 42 + -5h = -18 Add '-42' to each side of the equation. 42 + -42 + -5h = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -5h = -18 + -42 -5h = -18 + -42 Combine like terms: -18 + -42 = -60 -5h = -60 Divide each side by '-5'. h = 12 Simplifying h = 12
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