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Simplifying (j) + (14j + 2) + (2j + -1) = 35 j + (14j + 2) + (2j + -1) = 35 Reorder the terms: j + (2 + 14j) + (2j + -1) = 35 Remove parenthesis around (2 + 14j) j + 2 + 14j + (2j + -1) = 35 Reorder the terms: j + 2 + 14j + (-1 + 2j) = 35 Remove parenthesis around (-1 + 2j) j + 2 + 14j + -1 + 2j = 35 Reorder the terms: 2 + -1 + j + 14j + 2j = 35 Combine like terms: 2 + -1 = 1 1 + j + 14j + 2j = 35 Combine like terms: j + 14j = 15j 1 + 15j + 2j = 35 Combine like terms: 15j + 2j = 17j 1 + 17j = 35 Solving 1 + 17j = 35 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 17j = 35 + -1 Combine like terms: 1 + -1 = 0 0 + 17j = 35 + -1 17j = 35 + -1 Combine like terms: 35 + -1 = 34 17j = 34 Divide each side by '17'. j = 2 Simplifying j = 2
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