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Simplifying 4(2h + 1) + h = -41 Reorder the terms: 4(1 + 2h) + h = -41 (1 * 4 + 2h * 4) + h = -41 (4 + 8h) + h = -41 Combine like terms: 8h + h = 9h 4 + 9h = -41 Solving 4 + 9h = -41 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9h = -41 + -4 Combine like terms: 4 + -4 = 0 0 + 9h = -41 + -4 9h = -41 + -4 Combine like terms: -41 + -4 = -45 9h = -45 Divide each side by '9'. h = -5 Simplifying h = -5
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