8(1.96y-0.8z+23.25)+0.2y+3z-138.83=3(1.96y-0.8z+23.25)+10y-z-23.25

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Solution for 8(1.96y-0.8z+23.25)+0.2y+3z-138.83=3(1.96y-0.8z+23.25)+10y-z-23.25 equation: 


Simplifying
8(1.96y + -0.8z + 23.25) + 0.2y + 3z + -138.83 = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25

Reorder the terms:
8(23.25 + 1.96y + -0.8z) + 0.2y + 3z + -138.83 = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25
(23.25 * 8 + 1.96y * 8 + -0.8z * 8) + 0.2y + 3z + -138.83 = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25
(186 + 15.68y + -6.4z) + 0.2y + 3z + -138.83 = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25

Reorder the terms:
186 + -138.83 + 15.68y + 0.2y + -6.4z + 3z = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25

Combine like terms: 186 + -138.83 = 47.17
47.17 + 15.68y + 0.2y + -6.4z + 3z = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25

Combine like terms: 15.68y + 0.2y = 15.88y
47.17 + 15.88y + -6.4z + 3z = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25

Combine like terms: -6.4z + 3z = -3.4z
47.17 + 15.88y + -3.4z = 3(1.96y + -0.8z + 23.25) + 10y + -1z + -23.25

Reorder the terms:
47.17 + 15.88y + -3.4z = 3(23.25 + 1.96y + -0.8z) + 10y + -1z + -23.25
47.17 + 15.88y + -3.4z = (23.25 * 3 + 1.96y * 3 + -0.8z * 3) + 10y + -1z + -23.25
47.17 + 15.88y + -3.4z = (69.75 + 5.88y + -2.4z) + 10y + -1z + -23.25

Reorder the terms:
47.17 + 15.88y + -3.4z = 69.75 + -23.25 + 5.88y + 10y + -2.4z + -1z

Combine like terms: 69.75 + -23.25 = 46.5
47.17 + 15.88y + -3.4z = 46.5 + 5.88y + 10y + -2.4z + -1z

Combine like terms: 5.88y + 10y = 15.88y
47.17 + 15.88y + -3.4z = 46.5 + 15.88y + -2.4z + -1z

Combine like terms: -2.4z + -1z = -3.4z
47.17 + 15.88y + -3.4z = 46.5 + 15.88y + -3.4z

Add '-15.88y' to each side of the equation.
47.17 + 15.88y + -15.88y + -3.4z = 46.5 + 15.88y + -15.88y + -3.4z

Combine like terms: 15.88y + -15.88y = 0.00
47.17 + 0.00 + -3.4z = 46.5 + 15.88y + -15.88y + -3.4z
47.17 + -3.4z = 46.5 + 15.88y + -15.88y + -3.4z

Combine like terms: 15.88y + -15.88y = 0.00
47.17 + -3.4z = 46.5 + 0.00 + -3.4z
47.17 + -3.4z = 46.5 + -3.4z

Add '3.4z' to each side of the equation.
47.17 + -3.4z + 3.4z = 46.5 + -3.4z + 3.4z

Combine like terms: -3.4z + 3.4z = 0.0
47.17 + 0.0 = 46.5 + -3.4z + 3.4z
47.17 = 46.5 + -3.4z + 3.4z

Combine like terms: -3.4z + 3.4z = 0.0
47.17 = 46.5 + 0.0
47.17 = 46.5

Solving
47.17 = 46.5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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