5(3n-4)=(7n+1)+6

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Solution for 5(3n-4)=(7n+1)+6 equation:


Simplifying
5(3n + -4) = (7n + 1) + 6

Reorder the terms:
5(-4 + 3n) = (7n + 1) + 6
(-4 * 5 + 3n * 5) = (7n + 1) + 6
(-20 + 15n) = (7n + 1) + 6

Reorder the terms:
-20 + 15n = (1 + 7n) + 6

Remove parenthesis around (1 + 7n)
-20 + 15n = 1 + 7n + 6

Reorder the terms:
-20 + 15n = 1 + 6 + 7n

Combine like terms: 1 + 6 = 7
-20 + 15n = 7 + 7n

Solving
-20 + 15n = 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.
-20 + 15n + -7n = 7 + 7n + -7n

Combine like terms: 15n + -7n = 8n
-20 + 8n = 7 + 7n + -7n

Combine like terms: 7n + -7n = 0
-20 + 8n = 7 + 0
-20 + 8n = 7

Add '20' to each side of the equation.
-20 + 20 + 8n = 7 + 20

Combine like terms: -20 + 20 = 0
0 + 8n = 7 + 20
8n = 7 + 20

Combine like terms: 7 + 20 = 27
8n = 27

Divide each side by '8'.
n = 3.375

Simplifying
n = 3.375

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