3n=7(6n+5)

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


Simplifying
3n = 7(6n + 5)

Reorder the terms:
3n = 7(5 + 6n)
3n = (5 * 7 + 6n * 7)
3n = (35 + 42n)

Solving
3n = 35 + 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.
3n + -42n = 35 + 42n + -42n

Combine like terms: 3n + -42n = -39n
-39n = 35 + 42n + -42n

Combine like terms: 42n + -42n = 0
-39n = 35 + 0
-39n = 35

Divide each side by '-39'.
n = -0.8974358974

Simplifying
n = -0.8974358974

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