7j-2(j-6)=(-4j)+32

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Solution for 7j-2(j-6)=(-4j)+32 equation:


Simplifying
7j + -2(j + -6) = (-4j) + 32

Reorder the terms:
7j + -2(-6 + j) = (-4j) + 32
7j + (-6 * -2 + j * -2) = (-4j) + 32
7j + (12 + -2j) = (-4j) + 32

Reorder the terms:
12 + 7j + -2j = (-4j) + 32

Combine like terms: 7j + -2j = 5j
12 + 5j = (-4j) + 32

Reorder the terms:
12 + 5j = 32 + (-4j)

Solving
12 + 5j = 32 + (-4j)

Solving for variable 'j'.

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

Add '(4j)' to each side of the equation.
12 + 5j + (4j) = 32 + (-4j) + (4j)

Combine like terms: 5j + (4j) = 9j
12 + 9j = 32 + (-4j) + (4j)

Combine like terms: (-4j) + (4j) = 0
12 + 9j = 32 + 0
12 + 9j = 32

Add '-12' to each side of the equation.
12 + -12 + 9j = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 9j = 32 + -12
9j = 32 + -12

Combine like terms: 32 + -12 = 20
9j = 20

Divide each side by '9'.
j = 2.222222222

Simplifying
j = 2.222222222

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