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Simplifying 4(5j + -17) = 3j Reorder the terms: 4(-17 + 5j) = 3j (-17 * 4 + 5j * 4) = 3j (-68 + 20j) = 3j Solving -68 + 20j = 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -68 + 20j + -3j = 3j + -3j Combine like terms: 20j + -3j = 17j -68 + 17j = 3j + -3j Combine like terms: 3j + -3j = 0 -68 + 17j = 0 Add '68' to each side of the equation. -68 + 68 + 17j = 0 + 68 Combine like terms: -68 + 68 = 0 0 + 17j = 0 + 68 17j = 0 + 68 Combine like terms: 0 + 68 = 68 17j = 68 Divide each side by '17'. j = 4 Simplifying j = 4
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