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Simplifying 5j + -3(2j + -1) = 3j + 8 Reorder the terms: 5j + -3(-1 + 2j) = 3j + 8 5j + (-1 * -3 + 2j * -3) = 3j + 8 5j + (3 + -6j) = 3j + 8 Reorder the terms: 3 + 5j + -6j = 3j + 8 Combine like terms: 5j + -6j = -1j 3 + -1j = 3j + 8 Reorder the terms: 3 + -1j = 8 + 3j Solving 3 + -1j = 8 + 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. 3 + -1j + -3j = 8 + 3j + -3j Combine like terms: -1j + -3j = -4j 3 + -4j = 8 + 3j + -3j Combine like terms: 3j + -3j = 0 3 + -4j = 8 + 0 3 + -4j = 8 Add '-3' to each side of the equation. 3 + -3 + -4j = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -4j = 8 + -3 -4j = 8 + -3 Combine like terms: 8 + -3 = 5 -4j = 5 Divide each side by '-4'. j = -1.25 Simplifying j = -1.25
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