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Simplifying 2(5h + 8) + -1(3h + -11) = 69 Reorder the terms: 2(8 + 5h) + -1(3h + -11) = 69 (8 * 2 + 5h * 2) + -1(3h + -11) = 69 (16 + 10h) + -1(3h + -11) = 69 Reorder the terms: 16 + 10h + -1(-11 + 3h) = 69 16 + 10h + (-11 * -1 + 3h * -1) = 69 16 + 10h + (11 + -3h) = 69 Reorder the terms: 16 + 11 + 10h + -3h = 69 Combine like terms: 16 + 11 = 27 27 + 10h + -3h = 69 Combine like terms: 10h + -3h = 7h 27 + 7h = 69 Solving 27 + 7h = 69 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 7h = 69 + -27 Combine like terms: 27 + -27 = 0 0 + 7h = 69 + -27 7h = 69 + -27 Combine like terms: 69 + -27 = 42 7h = 42 Divide each side by '7'. h = 6 Simplifying h = 6
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