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Simplifying 5(-2j + -5) = j + 8 Reorder the terms: 5(-5 + -2j) = j + 8 (-5 * 5 + -2j * 5) = j + 8 (-25 + -10j) = j + 8 Reorder the terms: -25 + -10j = 8 + j Solving -25 + -10j = 8 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -25 + -10j + -1j = 8 + j + -1j Combine like terms: -10j + -1j = -11j -25 + -11j = 8 + j + -1j Combine like terms: j + -1j = 0 -25 + -11j = 8 + 0 -25 + -11j = 8 Add '25' to each side of the equation. -25 + 25 + -11j = 8 + 25 Combine like terms: -25 + 25 = 0 0 + -11j = 8 + 25 -11j = 8 + 25 Combine like terms: 8 + 25 = 33 -11j = 33 Divide each side by '-11'. j = -3 Simplifying j = -3
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