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Simplifying -5j + -7 + 2j = 7(-3j + 17) Reorder the terms: -7 + -5j + 2j = 7(-3j + 17) Combine like terms: -5j + 2j = -3j -7 + -3j = 7(-3j + 17) Reorder the terms: -7 + -3j = 7(17 + -3j) -7 + -3j = (17 * 7 + -3j * 7) -7 + -3j = (119 + -21j) Solving -7 + -3j = 119 + -21j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '21j' to each side of the equation. -7 + -3j + 21j = 119 + -21j + 21j Combine like terms: -3j + 21j = 18j -7 + 18j = 119 + -21j + 21j Combine like terms: -21j + 21j = 0 -7 + 18j = 119 + 0 -7 + 18j = 119 Add '7' to each side of the equation. -7 + 7 + 18j = 119 + 7 Combine like terms: -7 + 7 = 0 0 + 18j = 119 + 7 18j = 119 + 7 Combine like terms: 119 + 7 = 126 18j = 126 Divide each side by '18'. j = 7 Simplifying j = 7
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