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Simplifying 12x + -7i = 3(4x + -7u) Reorder the terms: -7i + 12x = 3(4x + -7u) Reorder the terms: -7i + 12x = 3(-7u + 4x) -7i + 12x = (-7u * 3 + 4x * 3) -7i + 12x = (-21u + 12x) Add '-12x' to each side of the equation. -7i + 12x + -12x = -21u + 12x + -12x Combine like terms: 12x + -12x = 0 -7i + 0 = -21u + 12x + -12x -7i = -21u + 12x + -12x Combine like terms: 12x + -12x = 0 -7i = -21u + 0 -7i = -21u Solving -7i = -21u Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '-7'. i = 3u Simplifying i = 3u
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