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Simplifying 2[7 + -5(1 + -1h)] + 9n = -18 + 4 2[7 + (1 * -5 + -1h * -5)] + 9n = -18 + 4 2[7 + (-5 + 5h)] + 9n = -18 + 4 Combine like terms: 7 + -5 = 2 2[2 + 5h] + 9n = -18 + 4 [2 * 2 + 5h * 2] + 9n = -18 + 4 [4 + 10h] + 9n = -18 + 4 Combine like terms: -18 + 4 = -14 4 + 10h + 9n = -14 Solving 4 + 10h + 9n = -14 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 + 10h + -4 + 9n = -14 + -4 Reorder the terms: 4 + -4 + 10h + 9n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 10h + 9n = -14 + -4 10h + 9n = -14 + -4 Combine like terms: -14 + -4 = -18 10h + 9n = -18 Add '-9n' to each side of the equation. 10h + 9n + -9n = -18 + -9n Combine like terms: 9n + -9n = 0 10h + 0 = -18 + -9n 10h = -18 + -9n Divide each side by '10'. h = -1.8 + -0.9n Simplifying h = -1.8 + -0.9n
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