z-1=7z-13

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Solution for z-1=7z-13 equation:


Simplifying
z + -1 = 7z + -13

Reorder the terms:
-1 + z = 7z + -13

Reorder the terms:
-1 + z = -13 + 7z

Solving
-1 + z = -13 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-1 + z + -7z = -13 + 7z + -7z

Combine like terms: z + -7z = -6z
-1 + -6z = -13 + 7z + -7z

Combine like terms: 7z + -7z = 0
-1 + -6z = -13 + 0
-1 + -6z = -13

Add '1' to each side of the equation.
-1 + 1 + -6z = -13 + 1

Combine like terms: -1 + 1 = 0
0 + -6z = -13 + 1
-6z = -13 + 1

Combine like terms: -13 + 1 = -12
-6z = -12

Divide each side by '-6'.
z = 2

Simplifying
z = 2

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