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Simplifying 3(9j + -2) = 7(2j + 1) Reorder the terms: 3(-2 + 9j) = 7(2j + 1) (-2 * 3 + 9j * 3) = 7(2j + 1) (-6 + 27j) = 7(2j + 1) Reorder the terms: -6 + 27j = 7(1 + 2j) -6 + 27j = (1 * 7 + 2j * 7) -6 + 27j = (7 + 14j) Solving -6 + 27j = 7 + 14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14j' to each side of the equation. -6 + 27j + -14j = 7 + 14j + -14j Combine like terms: 27j + -14j = 13j -6 + 13j = 7 + 14j + -14j Combine like terms: 14j + -14j = 0 -6 + 13j = 7 + 0 -6 + 13j = 7 Add '6' to each side of the equation. -6 + 6 + 13j = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13j = 7 + 6 13j = 7 + 6 Combine like terms: 7 + 6 = 13 13j = 13 Divide each side by '13'. j = 1 Simplifying j = 1
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