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