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Simplifying 6h + 2 = 5(h + 3) Reorder the terms: 2 + 6h = 5(h + 3) Reorder the terms: 2 + 6h = 5(3 + h) 2 + 6h = (3 * 5 + h * 5) 2 + 6h = (15 + 5h) Solving 2 + 6h = 15 + 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. 2 + 6h + -5h = 15 + 5h + -5h Combine like terms: 6h + -5h = 1h 2 + 1h = 15 + 5h + -5h Combine like terms: 5h + -5h = 0 2 + 1h = 15 + 0 2 + 1h = 15 Add '-2' to each side of the equation. 2 + -2 + 1h = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 1h = 15 + -2 1h = 15 + -2 Combine like terms: 15 + -2 = 13 1h = 13 Divide each side by '1'. h = 13 Simplifying h = 13
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