# Solve for j 4(j-3)=2(j-7)

4(j-3)=2(j-7)
Simplify 4(j-3).
Apply the distributive property.
4j+4⋅-3=2(j-7)
Multiply 4 by -3.
4j-12=2(j-7)
4j-12=2(j-7)
Simplify 2(j-7).
Apply the distributive property.
4j-12=2j+2⋅-7
Multiply 2 by -7.
4j-12=2j-14
4j-12=2j-14
Move all terms containing j to the left side of the equation.
Subtract 2j from both sides of the equation.
4j-12-2j=-14
Subtract 2j from 4j.
2j-12=-14
2j-12=-14
Move all terms not containing j to the right side of the equation.
Add 12 to both sides of the equation.
2j=-14+12
2j=-2
2j=-2
Divide each term by 2 and simplify.
Divide each term in 2j=-2 by 2.
2j2=-22
Cancel the common factor of 2.
Cancel the common factor.
2j2=-22
Divide j by 1.
j=-22
j=-22
Divide -2 by 2.
j=-1
j=-1
Solve for j 4(j-3)=2(j-7)

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