6(7n-5)=17-5n

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Solution for 6(7n-5)=17-5n equation:


Simplifying
6(7n + -5) = 17 + -5n

Reorder the terms:
6(-5 + 7n) = 17 + -5n
(-5 * 6 + 7n * 6) = 17 + -5n
(-30 + 42n) = 17 + -5n

Solving
-30 + 42n = 17 + -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.
-30 + 42n + 5n = 17 + -5n + 5n

Combine like terms: 42n + 5n = 47n
-30 + 47n = 17 + -5n + 5n

Combine like terms: -5n + 5n = 0
-30 + 47n = 17 + 0
-30 + 47n = 17

Add '30' to each side of the equation.
-30 + 30 + 47n = 17 + 30

Combine like terms: -30 + 30 = 0
0 + 47n = 17 + 30
47n = 17 + 30

Combine like terms: 17 + 30 = 47
47n = 47

Divide each side by '47'.
n = 1

Simplifying
n = 1

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