2(7n-6)=3(5-n)

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Solution for 2(7n-6)=3(5-n) equation:


Simplifying
2(7n + -6) = 3(5 + -1n)

Reorder the terms:
2(-6 + 7n) = 3(5 + -1n)
(-6 * 2 + 7n * 2) = 3(5 + -1n)
(-12 + 14n) = 3(5 + -1n)
-12 + 14n = (5 * 3 + -1n * 3)
-12 + 14n = (15 + -3n)

Solving
-12 + 14n = 15 + -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.
-12 + 14n + 3n = 15 + -3n + 3n

Combine like terms: 14n + 3n = 17n
-12 + 17n = 15 + -3n + 3n

Combine like terms: -3n + 3n = 0
-12 + 17n = 15 + 0
-12 + 17n = 15

Add '12' to each side of the equation.
-12 + 12 + 17n = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 17n = 15 + 12
17n = 15 + 12

Combine like terms: 15 + 12 = 27
17n = 27

Divide each side by '17'.
n = 1.588235294

Simplifying
n = 1.588235294

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