5n-4(n-8)=3+2n

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Solution for 5n-4(n-8)=3+2n equation:


Simplifying
5n + -4(n + -8) = 3 + 2n

Reorder the terms:
5n + -4(-8 + n) = 3 + 2n
5n + (-8 * -4 + n * -4) = 3 + 2n
5n + (32 + -4n) = 3 + 2n

Reorder the terms:
32 + 5n + -4n = 3 + 2n

Combine like terms: 5n + -4n = 1n
32 + 1n = 3 + 2n

Solving
32 + 1n = 3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
32 + 1n + -2n = 3 + 2n + -2n

Combine like terms: 1n + -2n = -1n
32 + -1n = 3 + 2n + -2n

Combine like terms: 2n + -2n = 0
32 + -1n = 3 + 0
32 + -1n = 3

Add '-32' to each side of the equation.
32 + -32 + -1n = 3 + -32

Combine like terms: 32 + -32 = 0
0 + -1n = 3 + -32
-1n = 3 + -32

Combine like terms: 3 + -32 = -29
-1n = -29

Divide each side by '-1'.
n = 29

Simplifying
n = 29

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