33.7-(1.5s+2.3)=3.4s-(0.4-0.7s)

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Solution for 33.7-(1.5s+2.3)=3.4s-(0.4-0.7s) equation: 


Simplifying
33.7 + -1(1.5s + 2.3) = 3.4s + -1(0.4 + -0.7s)

Reorder the terms:
33.7 + -1(2.3 + 1.5s) = 3.4s + -1(0.4 + -0.7s)
33.7 + (2.3 * -1 + 1.5s * -1) = 3.4s + -1(0.4 + -0.7s)
33.7 + (-2.3 + -1.5s) = 3.4s + -1(0.4 + -0.7s)

Combine like terms: 33.7 + -2.3 = 31.4
31.4 + -1.5s = 3.4s + -1(0.4 + -0.7s)
31.4 + -1.5s = 3.4s + (0.4 * -1 + -0.7s * -1)
31.4 + -1.5s = 3.4s + (-0.4 + 0.7s)

Reorder the terms:
31.4 + -1.5s = -0.4 + 3.4s + 0.7s

Combine like terms: 3.4s + 0.7s = 4.1s
31.4 + -1.5s = -0.4 + 4.1s

Solving
31.4 + -1.5s = -0.4 + 4.1s

Solving for variable 's'.

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

Add '-4.1s' to each side of the equation.
31.4 + -1.5s + -4.1s = -0.4 + 4.1s + -4.1s

Combine like terms: -1.5s + -4.1s = -5.6s
31.4 + -5.6s = -0.4 + 4.1s + -4.1s

Combine like terms: 4.1s + -4.1s = 0.0
31.4 + -5.6s = -0.4 + 0.0
31.4 + -5.6s = -0.4

Add '-31.4' to each side of the equation.
31.4 + -31.4 + -5.6s = -0.4 + -31.4

Combine like terms: 31.4 + -31.4 = 0.0
0.0 + -5.6s = -0.4 + -31.4
-5.6s = -0.4 + -31.4

Combine like terms: -0.4 + -31.4 = -31.8
-5.6s = -31.8

Divide each side by '-5.6'.
s = 5.678571429

Simplifying
s = 5.678571429

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