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Simplifying 2(h + 4) + -7 = 3h + 8 Reorder the terms: 2(4 + h) + -7 = 3h + 8 (4 * 2 + h * 2) + -7 = 3h + 8 (8 + 2h) + -7 = 3h + 8 Reorder the terms: 8 + -7 + 2h = 3h + 8 Combine like terms: 8 + -7 = 1 1 + 2h = 3h + 8 Reorder the terms: 1 + 2h = 8 + 3h Solving 1 + 2h = 8 + 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. 1 + 2h + -3h = 8 + 3h + -3h Combine like terms: 2h + -3h = -1h 1 + -1h = 8 + 3h + -3h Combine like terms: 3h + -3h = 0 1 + -1h = 8 + 0 1 + -1h = 8 Add '-1' to each side of the equation. 1 + -1 + -1h = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 8 + -1 -1h = 8 + -1 Combine like terms: 8 + -1 = 7 -1h = 7 Divide each side by '-1'. h = -7 Simplifying h = -7
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