3(z-7)=z

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Solution for 3(z-7)=z equation:


Simplifying
3(z + -7) = z

Reorder the terms:
3(-7 + z) = z
(-7 * 3 + z * 3) = z
(-21 + 3z) = z

Solving
-21 + 3z = 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.
-21 + 3z + -1z = z + -1z

Combine like terms: 3z + -1z = 2z
-21 + 2z = z + -1z

Combine like terms: z + -1z = 0
-21 + 2z = 0

Add '21' to each side of the equation.
-21 + 21 + 2z = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 2z = 0 + 21
2z = 0 + 21

Combine like terms: 0 + 21 = 21
2z = 21

Divide each side by '2'.
z = 10.5

Simplifying
z = 10.5

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