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Simplifying 0 = 4i + (-3i + 12j) Remove parenthesis around (-3i + 12j) 0 = 4i + -3i + 12j Combine like terms: 4i + -3i = 1i 0 = 1i + 12j Solving 0 = 1i + 12j Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 0 + -1i = 1i + -1i + 12j Remove the zero: -1i = 1i + -1i + 12j Combine like terms: 1i + -1i = 0 -1i = 0 + 12j -1i = 12j Divide each side by '-1'. i = -12j Simplifying i = -12j
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