14-8(4-s)+3(s+3)=22

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Solution for 14-8(4-s)+3(s+3)=22 equation: 


Simplifying
14 + -8(4 + -1s) + 3(s + 3) = 22
14 + (4 * -8 + -1s * -8) + 3(s + 3) = 22
14 + (-32 + 8s) + 3(s + 3) = 22

Reorder the terms:
14 + -32 + 8s + 3(3 + s) = 22
14 + -32 + 8s + (3 * 3 + s * 3) = 22
14 + -32 + 8s + (9 + 3s) = 22

Reorder the terms:
14 + -32 + 9 + 8s + 3s = 22

Combine like terms: 14 + -32 = -18
-18 + 9 + 8s + 3s = 22

Combine like terms: -18 + 9 = -9
-9 + 8s + 3s = 22

Combine like terms: 8s + 3s = 11s
-9 + 11s = 22

Solving
-9 + 11s = 22

Solving for variable 's'.

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

Add '9' to each side of the equation.
-9 + 9 + 11s = 22 + 9

Combine like terms: -9 + 9 = 0
0 + 11s = 22 + 9
11s = 22 + 9

Combine like terms: 22 + 9 = 31
11s = 31

Divide each side by '11'.
s = 2.818181818

Simplifying
s = 2.818181818

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