2z-7=3z-2

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Solution for 2z-7=3z-2 equation:


Simplifying
2z + -7 = 3z + -2

Reorder the terms:
-7 + 2z = 3z + -2

Reorder the terms:
-7 + 2z = -2 + 3z

Solving
-7 + 2z = -2 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-7 + 2z + -3z = -2 + 3z + -3z

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

Combine like terms: 3z + -3z = 0
-7 + -1z = -2 + 0
-7 + -1z = -2

Add '7' to each side of the equation.
-7 + 7 + -1z = -2 + 7

Combine like terms: -7 + 7 = 0
0 + -1z = -2 + 7
-1z = -2 + 7

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

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

Simplifying
z = -5

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