3(n-6)-(4-5n)=7n

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Solution for 3(n-6)-(4-5n)=7n equation:


Simplifying
3(n + -6) + -1(4 + -5n) = 7n

Reorder the terms:
3(-6 + n) + -1(4 + -5n) = 7n
(-6 * 3 + n * 3) + -1(4 + -5n) = 7n
(-18 + 3n) + -1(4 + -5n) = 7n
-18 + 3n + (4 * -1 + -5n * -1) = 7n
-18 + 3n + (-4 + 5n) = 7n

Reorder the terms:
-18 + -4 + 3n + 5n = 7n

Combine like terms: -18 + -4 = -22
-22 + 3n + 5n = 7n

Combine like terms: 3n + 5n = 8n
-22 + 8n = 7n

Solving
-22 + 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.
-22 + 8n + -7n = 7n + -7n

Combine like terms: 8n + -7n = 1n
-22 + 1n = 7n + -7n

Combine like terms: 7n + -7n = 0
-22 + 1n = 0

Add '22' to each side of the equation.
-22 + 22 + 1n = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 1n = 0 + 22
1n = 0 + 22

Combine like terms: 0 + 22 = 22
1n = 22

Divide each side by '1'.
n = 22

Simplifying
n = 22

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