7z-1=3z-9

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Solution for 7z-1=3z-9 equation:


Simplifying
7z + -1 = 3z + -9

Reorder the terms:
-1 + 7z = 3z + -9

Reorder the terms:
-1 + 7z = -9 + 3z

Solving
-1 + 7z = -9 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-1 + 7z + -3z = -9 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-1 + 4z = -9 + 3z + -3z

Combine like terms: 3z + -3z = 0
-1 + 4z = -9 + 0
-1 + 4z = -9

Add '1' to each side of the equation.
-1 + 1 + 4z = -9 + 1

Combine like terms: -1 + 1 = 0
0 + 4z = -9 + 1
4z = -9 + 1

Combine like terms: -9 + 1 = -8
4z = -8

Divide each side by '4'.
z = -2

Simplifying
z = -2

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