7+4z-2=7z+10-2z

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Solution for 7+4z-2=7z+10-2z equation:


Simplifying
7 + 4z + -2 = 7z + 10 + -2z

Reorder the terms:
7 + -2 + 4z = 7z + 10 + -2z

Combine like terms: 7 + -2 = 5
5 + 4z = 7z + 10 + -2z

Reorder the terms:
5 + 4z = 10 + 7z + -2z

Combine like terms: 7z + -2z = 5z
5 + 4z = 10 + 5z

Solving
5 + 4z = 10 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
5 + 4z + -5z = 10 + 5z + -5z

Combine like terms: 4z + -5z = -1z
5 + -1z = 10 + 5z + -5z

Combine like terms: 5z + -5z = 0
5 + -1z = 10 + 0
5 + -1z = 10

Add '-5' to each side of the equation.
5 + -5 + -1z = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1z = 10 + -5
-1z = 10 + -5

Combine like terms: 10 + -5 = 5
-1z = 5

Divide each side by '-1'.
z = -5

Simplifying
z = -5

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