10+4(j-2)=3j+10-j

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Solution for 10+4(j-2)=3j+10-j equation: 


Simplifying
10 + 4(j + -2) = 3j + 10 + -1j

Reorder the terms:
10 + 4(-2 + j) = 3j + 10 + -1j
10 + (-2 * 4 + j * 4) = 3j + 10 + -1j
10 + (-8 + 4j) = 3j + 10 + -1j

Combine like terms: 10 + -8 = 2
2 + 4j = 3j + 10 + -1j

Reorder the terms:
2 + 4j = 10 + 3j + -1j

Combine like terms: 3j + -1j = 2j
2 + 4j = 10 + 2j

Solving
2 + 4j = 10 + 2j

Solving for variable 'j'.

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

Add '-2j' to each side of the equation.
2 + 4j + -2j = 10 + 2j + -2j

Combine like terms: 4j + -2j = 2j
2 + 2j = 10 + 2j + -2j

Combine like terms: 2j + -2j = 0
2 + 2j = 10 + 0
2 + 2j = 10

Add '-2' to each side of the equation.
2 + -2 + 2j = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 2j = 10 + -2
2j = 10 + -2

Combine like terms: 10 + -2 = 8
2j = 8

Divide each side by '2'.
j = 4

Simplifying
j = 4

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