4n+2=7n-7

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


Simplifying
4n + 2 = 7n + -7

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -3n = -7 + -2

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

Combine like terms: -7 + -2 = -9
-3n = -9

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

Simplifying
n = 3

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