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Simplifying 2.2(h + -5.3) = 2(-10 + 5j) Reorder the terms: 2.2(-5.3 + h) = 2(-10 + 5j) (-5.3 * 2.2 + h * 2.2) = 2(-10 + 5j) (-11.66 + 2.2h) = 2(-10 + 5j) -11.66 + 2.2h = (-10 * 2 + 5j * 2) -11.66 + 2.2h = (-20 + 10j) Solving -11.66 + 2.2h = -20 + 10j Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '11.66' to each side of the equation. -11.66 + 11.66 + 2.2h = -20 + 11.66 + 10j Combine like terms: -11.66 + 11.66 = 0.00 0.00 + 2.2h = -20 + 11.66 + 10j 2.2h = -20 + 11.66 + 10j Combine like terms: -20 + 11.66 = -8.34 2.2h = -8.34 + 10j Divide each side by '2.2'. h = -3.790909091 + 4.545454545j Simplifying h = -3.790909091 + 4.545454545j
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