6(n-2)=3n-40

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Solution for 6(n-2)=3n-40 equation:


Simplifying
6(n + -2) = 3n + -40

Reorder the terms:
6(-2 + n) = 3n + -40
(-2 * 6 + n * 6) = 3n + -40
(-12 + 6n) = 3n + -40

Reorder the terms:
-12 + 6n = -40 + 3n

Solving
-12 + 6n = -40 + 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 + 6n + -3n = -40 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-12 + 3n = -40 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 3n = -40 + 0
-12 + 3n = -40

Add '12' to each side of the equation.
-12 + 12 + 3n = -40 + 12

Combine like terms: -12 + 12 = 0
0 + 3n = -40 + 12
3n = -40 + 12

Combine like terms: -40 + 12 = -28
3n = -28

Divide each side by '3'.
n = -9.333333333

Simplifying
n = -9.333333333

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