-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 = 14
14 + -2j + 3j = 8

Combine like terms: -2j + 3j = 1j
14 + 1j = 8

Solving
14 + 1j = 8

Solving for variable 'j'.

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

Add '-14' to each side of the equation.
14 + -14 + 1j = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 1j = 8 + -14
1j = 8 + -14

Combine like terms: 8 + -14 = -6
1j = -6

Divide each side by '1'.
j = -6

Simplifying
j = -6

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