7n+49=4n+16

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Solution for 7n+49=4n+16 equation:


Simplifying
7n + 49 = 4n + 16

Reorder the terms:
49 + 7n = 4n + 16

Reorder the terms:
49 + 7n = 16 + 4n

Solving
49 + 7n = 16 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
49 + 7n + -4n = 16 + 4n + -4n

Combine like terms: 7n + -4n = 3n
49 + 3n = 16 + 4n + -4n

Combine like terms: 4n + -4n = 0
49 + 3n = 16 + 0
49 + 3n = 16

Add '-49' to each side of the equation.
49 + -49 + 3n = 16 + -49

Combine like terms: 49 + -49 = 0
0 + 3n = 16 + -49
3n = 16 + -49

Combine like terms: 16 + -49 = -33
3n = -33

Divide each side by '3'.
n = -11

Simplifying
n = -11

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