7z-4=4z-13

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Solution for 7z-4=4z-13 equation:


Simplifying
7z + -4 = 4z + -13

Reorder the terms:
-4 + 7z = 4z + -13

Reorder the terms:
-4 + 7z = -13 + 4z

Solving
-4 + 7z = -13 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-4 + 7z + -4z = -13 + 4z + -4z

Combine like terms: 7z + -4z = 3z
-4 + 3z = -13 + 4z + -4z

Combine like terms: 4z + -4z = 0
-4 + 3z = -13 + 0
-4 + 3z = -13

Add '4' to each side of the equation.
-4 + 4 + 3z = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 3z = -13 + 4
3z = -13 + 4

Combine like terms: -13 + 4 = -9
3z = -9

Divide each side by '3'.
z = -3

Simplifying
z = -3

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