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Simplifying 9x + -7i = 3(3i + -7u) Reorder the terms: -7i + 9x = 3(3i + -7u) -7i + 9x = (3i * 3 + -7u * 3) -7i + 9x = (9i + -21u) Solving -7i + 9x = 9i + -21u Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9i' to each side of the equation. -7i + -9i + 9x = 9i + -9i + -21u Combine like terms: -7i + -9i = -16i -16i + 9x = 9i + -9i + -21u Combine like terms: 9i + -9i = 0 -16i + 9x = 0 + -21u -16i + 9x = -21u Add '-9x' to each side of the equation. -16i + 9x + -9x = -21u + -9x Combine like terms: 9x + -9x = 0 -16i + 0 = -21u + -9x -16i = -21u + -9x Divide each side by '-16'. i = 1.3125u + 0.5625x Simplifying i = 1.3125u + 0.5625x
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