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Simplifying (-7) + -1(6i) = 0 -7 + -1(6i) = 0 Remove parenthesis around (6i) -7 + -1 * 6i = 0 Multiply -1 * 6 -7 + -6i = 0 Solving -7 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6i = 0 + 7 -6i = 0 + 7 Combine like terms: 0 + 7 = 7 -6i = 7 Divide each side by '-6'. i = -1.166666667 Simplifying i = -1.166666667
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