3n-50=7n+80

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Solution for 3n-50=7n+80 equation:


Simplifying
3n + -50 = 7n + 80

Reorder the terms:
-50 + 3n = 7n + 80

Reorder the terms:
-50 + 3n = 80 + 7n

Solving
-50 + 3n = 80 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-50 + 3n + -7n = 80 + 7n + -7n

Combine like terms: 3n + -7n = -4n
-50 + -4n = 80 + 7n + -7n

Combine like terms: 7n + -7n = 0
-50 + -4n = 80 + 0
-50 + -4n = 80

Add '50' to each side of the equation.
-50 + 50 + -4n = 80 + 50

Combine like terms: -50 + 50 = 0
0 + -4n = 80 + 50
-4n = 80 + 50

Combine like terms: 80 + 50 = 130
-4n = 130

Divide each side by '-4'.
n = -32.5

Simplifying
n = -32.5

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