2(j-1)+3(j+4)=8

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Solution for 2(j-1)+3(j+4)=8 equation: 


Simplifying
2(j + -1) + 3(j + 4) = 8

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

Reorder the terms:
-2 + 2j + 3(4 + j) = 8
-2 + 2j + (4 * 3 + j * 3) = 8
-2 + 2j + (12 + 3j) = 8

Reorder the terms:
-2 + 12 + 2j + 3j = 8

Combine like terms: -2 + 12 = 10
10 + 2j + 3j = 8

Combine like terms: 2j + 3j = 5j
10 + 5j = 8

Solving
10 + 5j = 8

Solving for variable 'j'.

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

Add '-10' to each side of the equation.
10 + -10 + 5j = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 5j = 8 + -10
5j = 8 + -10

Combine like terms: 8 + -10 = -2
5j = -2

Divide each side by '5'.
j = -0.4

Simplifying
j = -0.4

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