6z-3=-z-52

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Solution for 6z-3=-z-52 equation:


Simplifying
6z + -3 = -1z + -52

Reorder the terms:
-3 + 6z = -1z + -52

Reorder the terms:
-3 + 6z = -52 + -1z

Solving
-3 + 6z = -52 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-3 + 6z + z = -52 + -1z + z

Combine like terms: 6z + z = 7z
-3 + 7z = -52 + -1z + z

Combine like terms: -1z + z = 0
-3 + 7z = -52 + 0
-3 + 7z = -52

Add '3' to each side of the equation.
-3 + 3 + 7z = -52 + 3

Combine like terms: -3 + 3 = 0
0 + 7z = -52 + 3
7z = -52 + 3

Combine like terms: -52 + 3 = -49
7z = -49

Divide each side by '7'.
z = -7

Simplifying
z = -7

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