3n+4(5n+2)=8+3n

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Solution for 3n+4(5n+2)=8+3n equation:


Simplifying
3n + 4(5n + 2) = 8 + 3n

Reorder the terms:
3n + 4(2 + 5n) = 8 + 3n
3n + (2 * 4 + 5n * 4) = 8 + 3n
3n + (8 + 20n) = 8 + 3n

Reorder the terms:
8 + 3n + 20n = 8 + 3n

Combine like terms: 3n + 20n = 23n
8 + 23n = 8 + 3n

Add '-8' to each side of the equation.
8 + -8 + 23n = 8 + -8 + 3n

Combine like terms: 8 + -8 = 0
0 + 23n = 8 + -8 + 3n
23n = 8 + -8 + 3n

Combine like terms: 8 + -8 = 0
23n = 0 + 3n
23n = 3n

Solving
23n = 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
23n + -3n = 3n + -3n

Combine like terms: 23n + -3n = 20n
20n = 3n + -3n

Combine like terms: 3n + -3n = 0
20n = 0

Divide each side by '20'.
n = 0.0

Simplifying
n = 0.0

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