4z-7=5z-2

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


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

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

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

Solving
-7 + 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.
-7 + 4z + -5z = -2 + 5z + -5z

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

Combine like terms: 5z + -5z = 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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