7.8(s+2.1)-8.9=2.1s-9.5

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Solution for 7.8(s+2.1)-8.9=2.1s-9.5 equation: 


Simplifying
7.8(s + 2.1) + -8.9 = 2.1s + -9.5

Reorder the terms:
7.8(2.1 + s) + -8.9 = 2.1s + -9.5
(2.1 * 7.8 + s * 7.8) + -8.9 = 2.1s + -9.5
(16.38 + 7.8s) + -8.9 = 2.1s + -9.5

Reorder the terms:
16.38 + -8.9 + 7.8s = 2.1s + -9.5

Combine like terms: 16.38 + -8.9 = 7.48
7.48 + 7.8s = 2.1s + -9.5

Reorder the terms:
7.48 + 7.8s = -9.5 + 2.1s

Solving
7.48 + 7.8s = -9.5 + 2.1s

Solving for variable 's'.

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

Add '-2.1s' to each side of the equation.
7.48 + 7.8s + -2.1s = -9.5 + 2.1s + -2.1s

Combine like terms: 7.8s + -2.1s = 5.7s
7.48 + 5.7s = -9.5 + 2.1s + -2.1s

Combine like terms: 2.1s + -2.1s = 0.0
7.48 + 5.7s = -9.5 + 0.0
7.48 + 5.7s = -9.5

Add '-7.48' to each side of the equation.
7.48 + -7.48 + 5.7s = -9.5 + -7.48

Combine like terms: 7.48 + -7.48 = 0.00
0.00 + 5.7s = -9.5 + -7.48
5.7s = -9.5 + -7.48

Combine like terms: -9.5 + -7.48 = -16.98
5.7s = -16.98

Divide each side by '5.7'.
s = -2.978947368

Simplifying
s = -2.978947368

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