7(2n-2)=(3n+7)+4

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


Simplifying
7(2n + -2) = (3n + 7) + 4

Reorder the terms:
7(-2 + 2n) = (3n + 7) + 4
(-2 * 7 + 2n * 7) = (3n + 7) + 4
(-14 + 14n) = (3n + 7) + 4

Reorder the terms:
-14 + 14n = (7 + 3n) + 4

Remove parenthesis around (7 + 3n)
-14 + 14n = 7 + 3n + 4

Reorder the terms:
-14 + 14n = 7 + 4 + 3n

Combine like terms: 7 + 4 = 11
-14 + 14n = 11 + 3n

Solving
-14 + 14n = 11 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-14 + 14n + -3n = 11 + 3n + -3n

Combine like terms: 14n + -3n = 11n
-14 + 11n = 11 + 3n + -3n

Combine like terms: 3n + -3n = 0
-14 + 11n = 11 + 0
-14 + 11n = 11

Add '14' to each side of the equation.
-14 + 14 + 11n = 11 + 14

Combine like terms: -14 + 14 = 0
0 + 11n = 11 + 14
11n = 11 + 14

Combine like terms: 11 + 14 = 25
11n = 25

Divide each side by '11'.
n = 2.272727273

Simplifying
n = 2.272727273

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