4(n-3)+2(-1+n)=40

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Solution for 4(n-3)+2(-1+n)=40 equation:


Simplifying
4(n + -3) + 2(-1 + n) = 40

Reorder the terms:
4(-3 + n) + 2(-1 + n) = 40
(-3 * 4 + n * 4) + 2(-1 + n) = 40
(-12 + 4n) + 2(-1 + n) = 40
-12 + 4n + (-1 * 2 + n * 2) = 40
-12 + 4n + (-2 + 2n) = 40

Reorder the terms:
-12 + -2 + 4n + 2n = 40

Combine like terms: -12 + -2 = -14
-14 + 4n + 2n = 40

Combine like terms: 4n + 2n = 6n
-14 + 6n = 40

Solving
-14 + 6n = 40

Solving for variable 'n'.

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

Add '14' to each side of the equation.
-14 + 14 + 6n = 40 + 14

Combine like terms: -14 + 14 = 0
0 + 6n = 40 + 14
6n = 40 + 14

Combine like terms: 40 + 14 = 54
6n = 54

Divide each side by '6'.
n = 9

Simplifying
n = 9

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