8(5n+4)=102+5n

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Solution for 8(5n+4)=102+5n equation: 


Simplifying
8(5n + 4) = 102 + 5n

Reorder the terms:
8(4 + 5n) = 102 + 5n
(4 * 8 + 5n * 8) = 102 + 5n
(32 + 40n) = 102 + 5n

Solving
32 + 40n = 102 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
32 + 40n + -5n = 102 + 5n + -5n

Combine like terms: 40n + -5n = 35n
32 + 35n = 102 + 5n + -5n

Combine like terms: 5n + -5n = 0
32 + 35n = 102 + 0
32 + 35n = 102

Add '-32' to each side of the equation.
32 + -32 + 35n = 102 + -32

Combine like terms: 32 + -32 = 0
0 + 35n = 102 + -32
35n = 102 + -32

Combine like terms: 102 + -32 = 70
35n = 70

Divide each side by '35'.
n = 2

Simplifying
n = 2

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