2n+3=4n-7

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Solution for 2n+3=4n-7 equation:


Simplifying
2n + 3 = 4n + -7

Reorder the terms:
3 + 2n = 4n + -7

Reorder the terms:
3 + 2n = -7 + 4n

Solving
3 + 2n = -7 + 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.
3 + 2n + -4n = -7 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
3 + -2n = -7 + 0
3 + -2n = -7

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

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

Combine like terms: -7 + -3 = -10
-2n = -10

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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