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Simplifying -2[5(2j + -6) + -7j] = 5[3(j + -2)] Reorder the terms: -2[5(-6 + 2j) + -7j] = 5[3(j + -2)] -2[(-6 * 5 + 2j * 5) + -7j] = 5[3(j + -2)] -2[(-30 + 10j) + -7j] = 5[3(j + -2)] Combine like terms: 10j + -7j = 3j -2[-30 + 3j] = 5[3(j + -2)] [-30 * -2 + 3j * -2] = 5[3(j + -2)] [60 + -6j] = 5[3(j + -2)] Reorder the terms: 60 + -6j = 5[3(-2 + j)] 60 + -6j = 5[(-2 * 3 + j * 3)] 60 + -6j = 5[(-6 + 3j)] 60 + -6j = [-6 * 5 + 3j * 5] 60 + -6j = [-30 + 15j] Solving 60 + -6j = -30 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. 60 + -6j + -15j = -30 + 15j + -15j Combine like terms: -6j + -15j = -21j 60 + -21j = -30 + 15j + -15j Combine like terms: 15j + -15j = 0 60 + -21j = -30 + 0 60 + -21j = -30 Add '-60' to each side of the equation. 60 + -60 + -21j = -30 + -60 Combine like terms: 60 + -60 = 0 0 + -21j = -30 + -60 -21j = -30 + -60 Combine like terms: -30 + -60 = -90 -21j = -90 Divide each side by '-21'. j = 4.285714286 Simplifying j = 4.285714286
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