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Simplifying (3 + -1t) + -1(7 + 7i) = 0 Remove parenthesis around (3 + -1t) 3 + -1t + -1(7 + 7i) = 0 3 + -1t + (7 * -1 + 7i * -1) = 0 3 + -1t + (-7 + -7i) = 0 Reorder the terms: 3 + -7 + -7i + -1t = 0 Combine like terms: 3 + -7 = -4 -4 + -7i + -1t = 0 Solving -4 + -7i + -1t = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -7i + 4 + -1t = 0 + 4 Reorder the terms: -4 + 4 + -7i + -1t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7i + -1t = 0 + 4 -7i + -1t = 0 + 4 Combine like terms: 0 + 4 = 4 -7i + -1t = 4 Add 't' to each side of the equation. -7i + -1t + t = 4 + t Combine like terms: -1t + t = 0 -7i + 0 = 4 + t -7i = 4 + t Divide each side by '-7'. i = -0.5714285714 + -0.1428571429t Simplifying i = -0.5714285714 + -0.1428571429t
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