3(s-2)-6n=22-4(s-1)

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Solution for 3(s-2)-6n=22-4(s-1) equation:


Simplifying
3(s + -2) + -6n = 22 + -4(s + -1)

Reorder the terms:
3(-2 + s) + -6n = 22 + -4(s + -1)
(-2 * 3 + s * 3) + -6n = 22 + -4(s + -1)
(-6 + 3s) + -6n = 22 + -4(s + -1)

Reorder the terms:
-6 + -6n + 3s = 22 + -4(s + -1)

Reorder the terms:
-6 + -6n + 3s = 22 + -4(-1 + s)
-6 + -6n + 3s = 22 + (-1 * -4 + s * -4)
-6 + -6n + 3s = 22 + (4 + -4s)

Combine like terms: 22 + 4 = 26
-6 + -6n + 3s = 26 + -4s

Solving
-6 + -6n + 3s = 26 + -4s

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + -6n + 6 + 3s = 26 + 6 + -4s

Reorder the terms:
-6 + 6 + -6n + 3s = 26 + 6 + -4s

Combine like terms: -6 + 6 = 0
0 + -6n + 3s = 26 + 6 + -4s
-6n + 3s = 26 + 6 + -4s

Combine like terms: 26 + 6 = 32
-6n + 3s = 32 + -4s

Add '-3s' to each side of the equation.
-6n + 3s + -3s = 32 + -4s + -3s

Combine like terms: 3s + -3s = 0
-6n + 0 = 32 + -4s + -3s
-6n = 32 + -4s + -3s

Combine like terms: -4s + -3s = -7s
-6n = 32 + -7s

Divide each side by '-6'.
n = -5.333333333 + 1.166666667s

Simplifying
n = -5.333333333 + 1.166666667s

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