6+4z-5=7z+2-2z

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Solution for 6+4z-5=7z+2-2z equation:


Simplifying
6 + 4z + -5 = 7z + 2 + -2z

Reorder the terms:
6 + -5 + 4z = 7z + 2 + -2z

Combine like terms: 6 + -5 = 1
1 + 4z = 7z + 2 + -2z

Reorder the terms:
1 + 4z = 2 + 7z + -2z

Combine like terms: 7z + -2z = 5z
1 + 4z = 2 + 5z

Solving
1 + 4z = 2 + 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.
1 + 4z + -5z = 2 + 5z + -5z

Combine like terms: 4z + -5z = -1z
1 + -1z = 2 + 5z + -5z

Combine like terms: 5z + -5z = 0
1 + -1z = 2 + 0
1 + -1z = 2

Add '-1' to each side of the equation.
1 + -1 + -1z = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = 2 + -1
-1z = 2 + -1

Combine like terms: 2 + -1 = 1
-1z = 1

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

Simplifying
z = -1

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