n*4-40=7*n+2

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Solution for n*4-40=7*n+2 equation:


Simplifying
n * 4 + -40 = 7n + 2

Reorder the terms for easier multiplication:
4n + -40 = 7n + 2

Reorder the terms:
-40 + 4n = 7n + 2

Reorder the terms:
-40 + 4n = 2 + 7n

Solving
-40 + 4n = 2 + 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.
-40 + 4n + -7n = 2 + 7n + -7n

Combine like terms: 4n + -7n = -3n
-40 + -3n = 2 + 7n + -7n

Combine like terms: 7n + -7n = 0
-40 + -3n = 2 + 0
-40 + -3n = 2

Add '40' to each side of the equation.
-40 + 40 + -3n = 2 + 40

Combine like terms: -40 + 40 = 0
0 + -3n = 2 + 40
-3n = 2 + 40

Combine like terms: 2 + 40 = 42
-3n = 42

Divide each side by '-3'.
n = -14

Simplifying
n = -14

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