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Simplifying 5h + 12 = 8h + -2 Reorder the terms: 12 + 5h = 8h + -2 Reorder the terms: 12 + 5h = -2 + 8h Solving 12 + 5h = -2 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 12 + 5h + -8h = -2 + 8h + -8h Combine like terms: 5h + -8h = -3h 12 + -3h = -2 + 8h + -8h Combine like terms: 8h + -8h = 0 12 + -3h = -2 + 0 12 + -3h = -2 Add '-12' to each side of the equation. 12 + -12 + -3h = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -3h = -2 + -12 -3h = -2 + -12 Combine like terms: -2 + -12 = -14 -3h = -14 Divide each side by '-3'. h = 4.666666667 Simplifying h = 4.666666667
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