6(n-3)-(4-2n)=7

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Solution for 6(n-3)-(4-2n)=7 equation: 


Simplifying
6(n + -3) + -1(4 + -2n) = 7

Reorder the terms:
6(-3 + n) + -1(4 + -2n) = 7
(-3 * 6 + n * 6) + -1(4 + -2n) = 7
(-18 + 6n) + -1(4 + -2n) = 7
-18 + 6n + (4 * -1 + -2n * -1) = 7
-18 + 6n + (-4 + 2n) = 7

Reorder the terms:
-18 + -4 + 6n + 2n = 7

Combine like terms: -18 + -4 = -22
-22 + 6n + 2n = 7

Combine like terms: 6n + 2n = 8n
-22 + 8n = 7

Solving
-22 + 8n = 7

Solving for variable 'n'.

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

Add '22' to each side of the equation.
-22 + 22 + 8n = 7 + 22

Combine like terms: -22 + 22 = 0
0 + 8n = 7 + 22
8n = 7 + 22

Combine like terms: 7 + 22 = 29
8n = 29

Divide each side by '8'.
n = 3.625

Simplifying
n = 3.625

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