6(n-3)-(5-2n)=7n

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Solution for 6(n-3)-(5-2n)=7n equation:


Simplifying
6(n + -3) + -1(5 + -2n) = 7n

Reorder the terms:
6(-3 + n) + -1(5 + -2n) = 7n
(-3 * 6 + n * 6) + -1(5 + -2n) = 7n
(-18 + 6n) + -1(5 + -2n) = 7n
-18 + 6n + (5 * -1 + -2n * -1) = 7n
-18 + 6n + (-5 + 2n) = 7n

Reorder the terms:
-18 + -5 + 6n + 2n = 7n

Combine like terms: -18 + -5 = -23
-23 + 6n + 2n = 7n

Combine like terms: 6n + 2n = 8n
-23 + 8n = 7n

Solving
-23 + 8n = 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.
-23 + 8n + -7n = 7n + -7n

Combine like terms: 8n + -7n = 1n
-23 + 1n = 7n + -7n

Combine like terms: 7n + -7n = 0
-23 + 1n = 0

Add '23' to each side of the equation.
-23 + 23 + 1n = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 1n = 0 + 23
1n = 0 + 23

Combine like terms: 0 + 23 = 23
1n = 23

Divide each side by '1'.
n = 23

Simplifying
n = 23

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