7(2n+5)=7(5n+8)+8

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Solution for 7(2n+5)=7(5n+8)+8 equation: 


Simplifying
7(2n + 5) = 7(5n + 8) + 8

Reorder the terms:
7(5 + 2n) = 7(5n + 8) + 8
(5 * 7 + 2n * 7) = 7(5n + 8) + 8
(35 + 14n) = 7(5n + 8) + 8

Reorder the terms:
35 + 14n = 7(8 + 5n) + 8
35 + 14n = (8 * 7 + 5n * 7) + 8
35 + 14n = (56 + 35n) + 8

Reorder the terms:
35 + 14n = 56 + 8 + 35n

Combine like terms: 56 + 8 = 64
35 + 14n = 64 + 35n

Solving
35 + 14n = 64 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
35 + 14n + -35n = 64 + 35n + -35n

Combine like terms: 14n + -35n = -21n
35 + -21n = 64 + 35n + -35n

Combine like terms: 35n + -35n = 0
35 + -21n = 64 + 0
35 + -21n = 64

Add '-35' to each side of the equation.
35 + -35 + -21n = 64 + -35

Combine like terms: 35 + -35 = 0
0 + -21n = 64 + -35
-21n = 64 + -35

Combine like terms: 64 + -35 = 29
-21n = 29

Divide each side by '-21'.
n = -1.380952381

Simplifying
n = -1.380952381

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