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Simplifying 3(3j + -25) = 6j Reorder the terms: 3(-25 + 3j) = 6j (-25 * 3 + 3j * 3) = 6j (-75 + 9j) = 6j Solving -75 + 9j = 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. -75 + 9j + -6j = 6j + -6j Combine like terms: 9j + -6j = 3j -75 + 3j = 6j + -6j Combine like terms: 6j + -6j = 0 -75 + 3j = 0 Add '75' to each side of the equation. -75 + 75 + 3j = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 3j = 0 + 75 3j = 0 + 75 Combine like terms: 0 + 75 = 75 3j = 75 Divide each side by '3'. j = 25 Simplifying j = 25
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