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Simplifying -5j + -1(-6) = -2j + 15 Multiply -1 * -6 -5j + 6 = -2j + 15 Reorder the terms: 6 + -5j = -2j + 15 Reorder the terms: 6 + -5j = 15 + -2j Solving 6 + -5j = 15 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 6 + -5j + 2j = 15 + -2j + 2j Combine like terms: -5j + 2j = -3j 6 + -3j = 15 + -2j + 2j Combine like terms: -2j + 2j = 0 6 + -3j = 15 + 0 6 + -3j = 15 Add '-6' to each side of the equation. 6 + -6 + -3j = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -3j = 15 + -6 -3j = 15 + -6 Combine like terms: 15 + -6 = 9 -3j = 9 Divide each side by '-3'. j = -3 Simplifying j = -3
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