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

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


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

Reorder the terms:
7(5 + 3n) = 6(7n + 5) + 4
(5 * 7 + 3n * 7) = 6(7n + 5) + 4
(35 + 21n) = 6(7n + 5) + 4

Reorder the terms:
35 + 21n = 6(5 + 7n) + 4
35 + 21n = (5 * 6 + 7n * 6) + 4
35 + 21n = (30 + 42n) + 4

Reorder the terms:
35 + 21n = 30 + 4 + 42n

Combine like terms: 30 + 4 = 34
35 + 21n = 34 + 42n

Solving
35 + 21n = 34 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
35 + 21n + -42n = 34 + 42n + -42n

Combine like terms: 21n + -42n = -21n
35 + -21n = 34 + 42n + -42n

Combine like terms: 42n + -42n = 0
35 + -21n = 34 + 0
35 + -21n = 34

Add '-35' to each side of the equation.
35 + -35 + -21n = 34 + -35

Combine like terms: 35 + -35 = 0
0 + -21n = 34 + -35
-21n = 34 + -35

Combine like terms: 34 + -35 = -1
-21n = -1

Divide each side by '-21'.
n = 0.04761904762

Simplifying
n = 0.04761904762

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