7*z+10-z=8*z-2(z-5)

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Solution for 7*z+10-z=8*z-2(z-5) equation: 


Simplifying
7z + 10 + -1z = 8z + -2(z + -5)

Reorder the terms:
10 + 7z + -1z = 8z + -2(z + -5)

Combine like terms: 7z + -1z = 6z
10 + 6z = 8z + -2(z + -5)

Reorder the terms:
10 + 6z = 8z + -2(-5 + z)
10 + 6z = 8z + (-5 * -2 + z * -2)
10 + 6z = 8z + (10 + -2z)

Reorder the terms:
10 + 6z = 10 + 8z + -2z

Combine like terms: 8z + -2z = 6z
10 + 6z = 10 + 6z

Add '-10' to each side of the equation.
10 + -10 + 6z = 10 + -10 + 6z

Combine like terms: 10 + -10 = 0
0 + 6z = 10 + -10 + 6z
6z = 10 + -10 + 6z

Combine like terms: 10 + -10 = 0
6z = 0 + 6z
6z = 6z

Add '-6z' to each side of the equation.
6z + -6z = 6z + -6z

Combine like terms: 6z + -6z = 0
0 = 6z + -6z

Combine like terms: 6z + -6z = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

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

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