(2z^2+2z-1)-(2z^2-3z+7)=5z-8

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Solution for (2z^2+2z-1)-(2z^2-3z+7)=5z-8 equation:


Simplifying
(2z2 + 2z + -1) + -1(2z2 + -3z + 7) = 5z + -8

Reorder the terms:
(-1 + 2z + 2z2) + -1(2z2 + -3z + 7) = 5z + -8

Remove parenthesis around (-1 + 2z + 2z2)
-1 + 2z + 2z2 + -1(2z2 + -3z + 7) = 5z + -8

Reorder the terms:
-1 + 2z + 2z2 + -1(7 + -3z + 2z2) = 5z + -8
-1 + 2z + 2z2 + (7 * -1 + -3z * -1 + 2z2 * -1) = 5z + -8
-1 + 2z + 2z2 + (-7 + 3z + -2z2) = 5z + -8

Reorder the terms:
-1 + -7 + 2z + 3z + 2z2 + -2z2 = 5z + -8

Combine like terms: -1 + -7 = -8
-8 + 2z + 3z + 2z2 + -2z2 = 5z + -8

Combine like terms: 2z + 3z = 5z
-8 + 5z + 2z2 + -2z2 = 5z + -8

Combine like terms: 2z2 + -2z2 = 0
-8 + 5z + 0 = 5z + -8
-8 + 5z = 5z + -8

Reorder the terms:
-8 + 5z = -8 + 5z

Add '8' to each side of the equation.
-8 + 8 + 5z = -8 + 8 + 5z

Combine like terms: -8 + 8 = 0
0 + 5z = -8 + 8 + 5z
5z = -8 + 8 + 5z

Combine like terms: -8 + 8 = 0
5z = 0 + 5z
5z = 5z

Add '-5z' to each side of the equation.
5z + -5z = 5z + -5z

Combine like terms: 5z + -5z = 0
0 = 5z + -5z

Combine like terms: 5z + -5z = 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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