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Simplifying 4(7 + 17j) + -6(14 + 6j) = 0 (7 * 4 + 17j * 4) + -6(14 + 6j) = 0 (28 + 68j) + -6(14 + 6j) = 0 28 + 68j + (14 * -6 + 6j * -6) = 0 28 + 68j + (-84 + -36j) = 0 Reorder the terms: 28 + -84 + 68j + -36j = 0 Combine like terms: 28 + -84 = -56 -56 + 68j + -36j = 0 Combine like terms: 68j + -36j = 32j -56 + 32j = 0 Solving -56 + 32j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 32j = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 32j = 0 + 56 32j = 0 + 56 Combine like terms: 0 + 56 = 56 32j = 56 Divide each side by '32'. j = 1.75 Simplifying j = 1.75
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