S+(3s+.22)+(s-0.12)=4.6

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Solution for S+(3s+.22)+(s-0.12)=4.6 equation: 


Simplifying
S + (3s + 0.22) + (s + -0.12) = 4.6

Reorder the terms:
S + (0.22 + 3s) + (s + -0.12) = 4.6

Remove parenthesis around (0.22 + 3s)
S + 0.22 + 3s + (s + -0.12) = 4.6

Reorder the terms:
S + 0.22 + 3s + (-0.12 + s) = 4.6

Remove parenthesis around (-0.12 + s)
S + 0.22 + 3s + -0.12 + s = 4.6

Reorder the terms:
0.22 + -0.12 + S + 3s + s = 4.6

Combine like terms: 0.22 + -0.12 = 0.1
0.1 + S + 3s + s = 4.6

Combine like terms: 3s + s = 4s
0.1 + S + 4s = 4.6

Solving
0.1 + S + 4s = 4.6

Solving for variable 'S'.

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

Add '-0.1' to each side of the equation.
0.1 + S + -0.1 + 4s = 4.6 + -0.1

Reorder the terms:
0.1 + -0.1 + S + 4s = 4.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + S + 4s = 4.6 + -0.1
S + 4s = 4.6 + -0.1

Combine like terms: 4.6 + -0.1 = 4.5
S + 4s = 4.5

Add '-4s' to each side of the equation.
S + 4s + -4s = 4.5 + -4s

Combine like terms: 4s + -4s = 0
S + 0 = 4.5 + -4s
S = 4.5 + -4s

Simplifying
S = 4.5 + -4s

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