2(3n-6)=-7n+16

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Solution for 2(3n-6)=-7n+16 equation:


Simplifying
2(3n + -6) = -7n + 16

Reorder the terms:
2(-6 + 3n) = -7n + 16
(-6 * 2 + 3n * 2) = -7n + 16
(-12 + 6n) = -7n + 16

Reorder the terms:
-12 + 6n = 16 + -7n

Solving
-12 + 6n = 16 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
-12 + 6n + 7n = 16 + -7n + 7n

Combine like terms: 6n + 7n = 13n
-12 + 13n = 16 + -7n + 7n

Combine like terms: -7n + 7n = 0
-12 + 13n = 16 + 0
-12 + 13n = 16

Add '12' to each side of the equation.
-12 + 12 + 13n = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 13n = 16 + 12
13n = 16 + 12

Combine like terms: 16 + 12 = 28
13n = 28

Divide each side by '13'.
n = 2.153846154

Simplifying
n = 2.153846154

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