4z-7=2z-2

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


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

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

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

Solving
-7 + 4z = -2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-7 + 4z + -2z = -2 + 2z + -2z

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

Combine like terms: 2z + -2z = 0
-7 + 2z = -2 + 0
-7 + 2z = -2

Add '7' to each side of the equation.
-7 + 7 + 2z = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 2z = -2 + 7
2z = -2 + 7

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

Divide each side by '2'.
z = 2.5

Simplifying
z = 2.5

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