2n+7=4n-13

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Solution for 2n+7=4n-13 equation:


Simplifying
2n + 7 = 4n + -13

Reorder the terms:
7 + 2n = 4n + -13

Reorder the terms:
7 + 2n = -13 + 4n

Solving
7 + 2n = -13 + 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.
7 + 2n + -4n = -13 + 4n + -4n

Combine like terms: 2n + -4n = -2n
7 + -2n = -13 + 4n + -4n

Combine like terms: 4n + -4n = 0
7 + -2n = -13 + 0
7 + -2n = -13

Add '-7' to each side of the equation.
7 + -7 + -2n = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -2n = -13 + -7
-2n = -13 + -7

Combine like terms: -13 + -7 = -20
-2n = -20

Divide each side by '-2'.
n = 10

Simplifying
n = 10

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