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

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


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

Reorder the terms:
2(-7 + n) + -1(4 + -6n) = 7
(-7 * 2 + n * 2) + -1(4 + -6n) = 7
(-14 + 2n) + -1(4 + -6n) = 7
-14 + 2n + (4 * -1 + -6n * -1) = 7
-14 + 2n + (-4 + 6n) = 7

Reorder the terms:
-14 + -4 + 2n + 6n = 7

Combine like terms: -14 + -4 = -18
-18 + 2n + 6n = 7

Combine like terms: 2n + 6n = 8n
-18 + 8n = 7

Solving
-18 + 8n = 7

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + 8n = 7 + 18

Combine like terms: -18 + 18 = 0
0 + 8n = 7 + 18
8n = 7 + 18

Combine like terms: 7 + 18 = 25
8n = 25

Divide each side by '8'.
n = 3.125

Simplifying
n = 3.125

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