3(2-(3J-6))+4(6J-(1-2J))=4-5J

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Solution for 3(2-(3J-6))+4(6J-(1-2J))=4-5J equation: 


Simplifying
3(2 + -1(3J + -6)) + 4(6J + -1(1 + -2J)) = 4 + -5J

Reorder the terms:
3(2 + -1(-6 + 3J)) + 4(6J + -1(1 + -2J)) = 4 + -5J
3(2 + (-6 * -1 + 3J * -1)) + 4(6J + -1(1 + -2J)) = 4 + -5J
3(2 + (6 + -3J)) + 4(6J + -1(1 + -2J)) = 4 + -5J

Combine like terms: 2 + 6 = 8
3(8 + -3J) + 4(6J + -1(1 + -2J)) = 4 + -5J
(8 * 3 + -3J * 3) + 4(6J + -1(1 + -2J)) = 4 + -5J
(24 + -9J) + 4(6J + -1(1 + -2J)) = 4 + -5J
24 + -9J + 4(6J + (1 * -1 + -2J * -1)) = 4 + -5J
24 + -9J + 4(6J + (-1 + 2J)) = 4 + -5J

Reorder the terms:
24 + -9J + 4(-1 + 6J + 2J) = 4 + -5J

Combine like terms: 6J + 2J = 8J
24 + -9J + 4(-1 + 8J) = 4 + -5J
24 + -9J + (-1 * 4 + 8J * 4) = 4 + -5J
24 + -9J + (-4 + 32J) = 4 + -5J

Reorder the terms:
24 + -4 + -9J + 32J = 4 + -5J

Combine like terms: 24 + -4 = 20
20 + -9J + 32J = 4 + -5J

Combine like terms: -9J + 32J = 23J
20 + 23J = 4 + -5J

Solving
20 + 23J = 4 + -5J

Solving for variable 'J'.

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

Add '5J' to each side of the equation.
20 + 23J + 5J = 4 + -5J + 5J

Combine like terms: 23J + 5J = 28J
20 + 28J = 4 + -5J + 5J

Combine like terms: -5J + 5J = 0
20 + 28J = 4 + 0
20 + 28J = 4

Add '-20' to each side of the equation.
20 + -20 + 28J = 4 + -20

Combine like terms: 20 + -20 = 0
0 + 28J = 4 + -20
28J = 4 + -20

Combine like terms: 4 + -20 = -16
28J = -16

Divide each side by '28'.
J = -0.5714285714

Simplifying
J = -0.5714285714

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