Solve for j
j=\frac{5}{57}\approx 0.087719298
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\left(3j-2\right)\times 7=\left(-1-4j\right)\times 9
Variable j cannot be equal to any of the values -\frac{1}{4},\frac{2}{3} since division by zero is not defined. Multiply both sides of the equation by \left(3j-2\right)\left(4j+1\right), the least common multiple of 4j+1,2-3j.
21j-14=\left(-1-4j\right)\times 9
Use the distributive property to multiply 3j-2 by 7.
21j-14=-9-36j
Use the distributive property to multiply -1-4j by 9.
21j-14+36j=-9
Add 36j to both sides.
57j-14=-9
Combine 21j and 36j to get 57j.
57j=-9+14
Add 14 to both sides.
57j=5
Add -9 and 14 to get 5.
j=\frac{5}{57}
Divide both sides by 57.
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