33.7-(1.5s+2.3)=3.4-(0.4-5.7s)

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Solution for 33.7-(1.5s+2.3)=3.4-(0.4-5.7s) equation: 


Simplifying
33.7 + -1(1.5s + 2.3) = 3.4 + -1(0.4 + -5.7s)

Reorder the terms:
33.7 + -1(2.3 + 1.5s) = 3.4 + -1(0.4 + -5.7s)
33.7 + (2.3 * -1 + 1.5s * -1) = 3.4 + -1(0.4 + -5.7s)
33.7 + (-2.3 + -1.5s) = 3.4 + -1(0.4 + -5.7s)

Combine like terms: 33.7 + -2.3 = 31.4
31.4 + -1.5s = 3.4 + -1(0.4 + -5.7s)
31.4 + -1.5s = 3.4 + (0.4 * -1 + -5.7s * -1)
31.4 + -1.5s = 3.4 + (-0.4 + 5.7s)

Combine like terms: 3.4 + -0.4 = 3
31.4 + -1.5s = 3 + 5.7s

Solving
31.4 + -1.5s = 3 + 5.7s

Solving for variable 's'.

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

Add '-5.7s' to each side of the equation.
31.4 + -1.5s + -5.7s = 3 + 5.7s + -5.7s

Combine like terms: -1.5s + -5.7s = -7.2s
31.4 + -7.2s = 3 + 5.7s + -5.7s

Combine like terms: 5.7s + -5.7s = 0.0
31.4 + -7.2s = 3 + 0.0
31.4 + -7.2s = 3

Add '-31.4' to each side of the equation.
31.4 + -31.4 + -7.2s = 3 + -31.4

Combine like terms: 31.4 + -31.4 = 0.0
0.0 + -7.2s = 3 + -31.4
-7.2s = 3 + -31.4

Combine like terms: 3 + -31.4 = -28.4
-7.2s = -28.4

Divide each side by '-7.2'.
s = 3.944444444

Simplifying
s = 3.944444444

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