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Simplifying 7(5i + -1) = 7(8i + -10) Reorder the terms: 7(-1 + 5i) = 7(8i + -10) (-1 * 7 + 5i * 7) = 7(8i + -10) (-7 + 35i) = 7(8i + -10) Reorder the terms: -7 + 35i = 7(-10 + 8i) -7 + 35i = (-10 * 7 + 8i * 7) -7 + 35i = (-70 + 56i) Solving -7 + 35i = -70 + 56i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-56i' to each side of the equation. -7 + 35i + -56i = -70 + 56i + -56i Combine like terms: 35i + -56i = -21i -7 + -21i = -70 + 56i + -56i Combine like terms: 56i + -56i = 0 -7 + -21i = -70 + 0 -7 + -21i = -70 Add '7' to each side of the equation. -7 + 7 + -21i = -70 + 7 Combine like terms: -7 + 7 = 0 0 + -21i = -70 + 7 -21i = -70 + 7 Combine like terms: -70 + 7 = -63 -21i = -63 Divide each side by '-21'. i = 3 Simplifying i = 3
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