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Simplifying 3h + 7 = 5h + 1 Reorder the terms: 7 + 3h = 5h + 1 Reorder the terms: 7 + 3h = 1 + 5h Solving 7 + 3h = 1 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 7 + 3h + -5h = 1 + 5h + -5h Combine like terms: 3h + -5h = -2h 7 + -2h = 1 + 5h + -5h Combine like terms: 5h + -5h = 0 7 + -2h = 1 + 0 7 + -2h = 1 Add '-7' to each side of the equation. 7 + -7 + -2h = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2h = 1 + -7 -2h = 1 + -7 Combine like terms: 1 + -7 = -6 -2h = -6 Divide each side by '-2'. h = 3 Simplifying h = 3
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