5N-(8+4N)=3(3N-4)

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Solution for 5N-(8+4N)=3(3N-4) equation:


Simplifying
5N + -1(8 + 4N) = 3(3N + -4)
5N + (8 * -1 + 4N * -1) = 3(3N + -4)
5N + (-8 + -4N) = 3(3N + -4)

Reorder the terms:
-8 + 5N + -4N = 3(3N + -4)

Combine like terms: 5N + -4N = 1N
-8 + 1N = 3(3N + -4)

Reorder the terms:
-8 + 1N = 3(-4 + 3N)
-8 + 1N = (-4 * 3 + 3N * 3)
-8 + 1N = (-12 + 9N)

Solving
-8 + 1N = -12 + 9N

Solving for variable 'N'.

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

Add '-9N' to each side of the equation.
-8 + 1N + -9N = -12 + 9N + -9N

Combine like terms: 1N + -9N = -8N
-8 + -8N = -12 + 9N + -9N

Combine like terms: 9N + -9N = 0
-8 + -8N = -12 + 0
-8 + -8N = -12

Add '8' to each side of the equation.
-8 + 8 + -8N = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -8N = -12 + 8
-8N = -12 + 8

Combine like terms: -12 + 8 = -4
-8N = -4

Divide each side by '-8'.
N = 0.5

Simplifying
N = 0.5

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