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Simplifying 0 = 9x + -7i + 3(3x + -7u) Reorder the terms: 0 = 9x + -7i + 3(-7u + 3x) 0 = 9x + -7i + (-7u * 3 + 3x * 3) 0 = 9x + -7i + (-21u + 9x) Reorder the terms: 0 = -7i + -21u + 9x + 9x Combine like terms: 9x + 9x = 18x 0 = -7i + -21u + 18x Solving 0 = -7i + -21u + 18x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. 0 + 7i = -7i + -21u + 7i + 18x Remove the zero: 7i = -7i + -21u + 7i + 18x Reorder the terms: 7i = -7i + 7i + -21u + 18x Combine like terms: -7i + 7i = 0 7i = 0 + -21u + 18x 7i = -21u + 18x Divide each side by '7'. i = -3u + 2.571428571x Simplifying i = -3u + 2.571428571x
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