2j+3(4j-1)=2(5j+3)+4

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Solution for 2j+3(4j-1)=2(5j+3)+4 equation:


Simplifying
2j + 3(4j + -1) = 2(5j + 3) + 4

Reorder the terms:
2j + 3(-1 + 4j) = 2(5j + 3) + 4
2j + (-1 * 3 + 4j * 3) = 2(5j + 3) + 4
2j + (-3 + 12j) = 2(5j + 3) + 4

Reorder the terms:
-3 + 2j + 12j = 2(5j + 3) + 4

Combine like terms: 2j + 12j = 14j
-3 + 14j = 2(5j + 3) + 4

Reorder the terms:
-3 + 14j = 2(3 + 5j) + 4
-3 + 14j = (3 * 2 + 5j * 2) + 4
-3 + 14j = (6 + 10j) + 4

Reorder the terms:
-3 + 14j = 6 + 4 + 10j

Combine like terms: 6 + 4 = 10
-3 + 14j = 10 + 10j

Solving
-3 + 14j = 10 + 10j

Solving for variable 'j'.

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

Add '-10j' to each side of the equation.
-3 + 14j + -10j = 10 + 10j + -10j

Combine like terms: 14j + -10j = 4j
-3 + 4j = 10 + 10j + -10j

Combine like terms: 10j + -10j = 0
-3 + 4j = 10 + 0
-3 + 4j = 10

Add '3' to each side of the equation.
-3 + 3 + 4j = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 4j = 10 + 3
4j = 10 + 3

Combine like terms: 10 + 3 = 13
4j = 13

Divide each side by '4'.
j = 3.25

Simplifying
j = 3.25

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