4n+32=13n-22

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Solution for 4n+32=13n-22 equation:


Simplifying
4n + 32 = 13n + -22

Reorder the terms:
32 + 4n = 13n + -22

Reorder the terms:
32 + 4n = -22 + 13n

Solving
32 + 4n = -22 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
32 + 4n + -13n = -22 + 13n + -13n

Combine like terms: 4n + -13n = -9n
32 + -9n = -22 + 13n + -13n

Combine like terms: 13n + -13n = 0
32 + -9n = -22 + 0
32 + -9n = -22

Add '-32' to each side of the equation.
32 + -32 + -9n = -22 + -32

Combine like terms: 32 + -32 = 0
0 + -9n = -22 + -32
-9n = -22 + -32

Combine like terms: -22 + -32 = -54
-9n = -54

Divide each side by '-9'.
n = 6

Simplifying
n = 6

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