4z-2=z+7

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


Simplifying
4z + -2 = z + 7

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

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

Solving
-2 + 4z = 7 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-2 + 4z + -1z = 7 + z + -1z

Combine like terms: 4z + -1z = 3z
-2 + 3z = 7 + z + -1z

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

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

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

Combine like terms: 7 + 2 = 9
3z = 9

Divide each side by '3'.
z = 3

Simplifying
z = 3

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