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Simplifying 5n + 2(11 + -1h) = -5 5n + (11 * 2 + -1h * 2) = -5 5n + (22 + -2h) = -5 Reorder the terms: 22 + -2h + 5n = -5 Solving 22 + -2h + 5n = -5 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -2h + -22 + 5n = -5 + -22 Reorder the terms: 22 + -22 + -2h + 5n = -5 + -22 Combine like terms: 22 + -22 = 0 0 + -2h + 5n = -5 + -22 -2h + 5n = -5 + -22 Combine like terms: -5 + -22 = -27 -2h + 5n = -27 Add '-5n' to each side of the equation. -2h + 5n + -5n = -27 + -5n Combine like terms: 5n + -5n = 0 -2h + 0 = -27 + -5n -2h = -27 + -5n Divide each side by '-2'. h = 13.5 + 2.5n Simplifying h = 13.5 + 2.5n
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