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Simplifying -3(12j + 18) = -6(-7 + 10j) Reorder the terms: -3(18 + 12j) = -6(-7 + 10j) (18 * -3 + 12j * -3) = -6(-7 + 10j) (-54 + -36j) = -6(-7 + 10j) -54 + -36j = (-7 * -6 + 10j * -6) -54 + -36j = (42 + -60j) Solving -54 + -36j = 42 + -60j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '60j' to each side of the equation. -54 + -36j + 60j = 42 + -60j + 60j Combine like terms: -36j + 60j = 24j -54 + 24j = 42 + -60j + 60j Combine like terms: -60j + 60j = 0 -54 + 24j = 42 + 0 -54 + 24j = 42 Add '54' to each side of the equation. -54 + 54 + 24j = 42 + 54 Combine like terms: -54 + 54 = 0 0 + 24j = 42 + 54 24j = 42 + 54 Combine like terms: 42 + 54 = 96 24j = 96 Divide each side by '24'. j = 4 Simplifying j = 4
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