96+-0.008z+0.05(96+-0.008z)=100+20+-0.2(96+-0.008z)+-0.01z

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Solution for 96+-0.008z+0.05(96+-0.008z)=100+20+-0.2(96+-0.008z)+-0.01z equation: 


Simplifying
96 + -0.008z + 0.05(96 + -0.008z) = 100 + 20 + -0.2(96 + -0.008z) + -0.01z
96 + -0.008z + (96 * 0.05 + -0.008z * 0.05) = 100 + 20 + -0.2(96 + -0.008z) + -0.01z
96 + -0.008z + (4.8 + -0.0004z) = 100 + 20 + -0.2(96 + -0.008z) + -0.01z

Reorder the terms:
96 + 4.8 + -0.008z + -0.0004z = 100 + 20 + -0.2(96 + -0.008z) + -0.01z

Combine like terms: 96 + 4.8 = 100.8
100.8 + -0.008z + -0.0004z = 100 + 20 + -0.2(96 + -0.008z) + -0.01z

Combine like terms: -0.008z + -0.0004z = -0.0084z
100.8 + -0.0084z = 100 + 20 + -0.2(96 + -0.008z) + -0.01z
100.8 + -0.0084z = 100 + 20 + (96 * -0.2 + -0.008z * -0.2) + -0.01z
100.8 + -0.0084z = 100 + 20 + (-19.2 + 0.0016z) + -0.01z

Combine like terms: 100 + 20 = 120
100.8 + -0.0084z = 120 + -19.2 + 0.0016z + -0.01z

Combine like terms: 120 + -19.2 = 100.8
100.8 + -0.0084z = 100.8 + 0.0016z + -0.01z

Combine like terms: 0.0016z + -0.01z = -0.0084z
100.8 + -0.0084z = 100.8 + -0.0084z

Add '-100.8' to each side of the equation.
100.8 + -100.8 + -0.0084z = 100.8 + -100.8 + -0.0084z

Combine like terms: 100.8 + -100.8 = 0.0
0.0 + -0.0084z = 100.8 + -100.8 + -0.0084z
-0.0084z = 100.8 + -100.8 + -0.0084z

Combine like terms: 100.8 + -100.8 = 0.0
-0.0084z = 0.0 + -0.0084z
-0.0084z = -0.0084z

Add '0.0084z' to each side of the equation.
-0.0084z + 0.0084z = -0.0084z + 0.0084z

Combine like terms: -0.0084z + 0.0084z = 0.0000
0.0000 = -0.0084z + 0.0084z

Combine like terms: -0.0084z + 0.0084z = 0.0000
0.0000 = 0.0000

Solving
0.0000 = 0.0000

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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