(4n+22)=(5n+32)

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Solution for (4n+22)=(5n+32) equation:


Simplifying
(4n + 22) = (5n + 32)

Reorder the terms:
(22 + 4n) = (5n + 32)

Remove parenthesis around (22 + 4n)
22 + 4n = (5n + 32)

Reorder the terms:
22 + 4n = (32 + 5n)

Remove parenthesis around (32 + 5n)
22 + 4n = 32 + 5n

Solving
22 + 4n = 32 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
22 + 4n + -5n = 32 + 5n + -5n

Combine like terms: 4n + -5n = -1n
22 + -1n = 32 + 5n + -5n

Combine like terms: 5n + -5n = 0
22 + -1n = 32 + 0
22 + -1n = 32

Add '-22' to each side of the equation.
22 + -22 + -1n = 32 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 32 + -22
-1n = 32 + -22

Combine like terms: 32 + -22 = 10
-1n = 10

Divide each side by '-1'.
n = -10

Simplifying
n = -10

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