10-4(j-3)=12j-20

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Solution for 10-4(j-3)=12j-20 equation: 


Simplifying
10 + -4(j + -3) = 12j + -20

Reorder the terms:
10 + -4(-3 + j) = 12j + -20
10 + (-3 * -4 + j * -4) = 12j + -20
10 + (12 + -4j) = 12j + -20

Combine like terms: 10 + 12 = 22
22 + -4j = 12j + -20

Reorder the terms:
22 + -4j = -20 + 12j

Solving
22 + -4j = -20 + 12j

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-12j' to each side of the equation.
22 + -4j + -12j = -20 + 12j + -12j

Combine like terms: -4j + -12j = -16j
22 + -16j = -20 + 12j + -12j

Combine like terms: 12j + -12j = 0
22 + -16j = -20 + 0
22 + -16j = -20

Add '-22' to each side of the equation.
22 + -22 + -16j = -20 + -22

Combine like terms: 22 + -22 = 0
0 + -16j = -20 + -22
-16j = -20 + -22

Combine like terms: -20 + -22 = -42
-16j = -42

Divide each side by '-16'.
j = 2.625

Simplifying
j = 2.625

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