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

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


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

Reorder the terms:
4(-2 + 3n) = (7n + 4) + 7
(-2 * 4 + 3n * 4) = (7n + 4) + 7
(-8 + 12n) = (7n + 4) + 7

Reorder the terms:
-8 + 12n = (4 + 7n) + 7

Remove parenthesis around (4 + 7n)
-8 + 12n = 4 + 7n + 7

Reorder the terms:
-8 + 12n = 4 + 7 + 7n

Combine like terms: 4 + 7 = 11
-8 + 12n = 11 + 7n

Solving
-8 + 12n = 11 + 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.
-8 + 12n + -7n = 11 + 7n + -7n

Combine like terms: 12n + -7n = 5n
-8 + 5n = 11 + 7n + -7n

Combine like terms: 7n + -7n = 0
-8 + 5n = 11 + 0
-8 + 5n = 11

Add '8' to each side of the equation.
-8 + 8 + 5n = 11 + 8

Combine like terms: -8 + 8 = 0
0 + 5n = 11 + 8
5n = 11 + 8

Combine like terms: 11 + 8 = 19
5n = 19

Divide each side by '5'.
n = 3.8

Simplifying
n = 3.8

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