16z-5=7z-41

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Solution for 16z-5=7z-41 equation:


Simplifying
16z + -5 = 7z + -41

Reorder the terms:
-5 + 16z = 7z + -41

Reorder the terms:
-5 + 16z = -41 + 7z

Solving
-5 + 16z = -41 + 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.
-5 + 16z + -7z = -41 + 7z + -7z

Combine like terms: 16z + -7z = 9z
-5 + 9z = -41 + 7z + -7z

Combine like terms: 7z + -7z = 0
-5 + 9z = -41 + 0
-5 + 9z = -41

Add '5' to each side of the equation.
-5 + 5 + 9z = -41 + 5

Combine like terms: -5 + 5 = 0
0 + 9z = -41 + 5
9z = -41 + 5

Combine like terms: -41 + 5 = -36
9z = -36

Divide each side by '9'.
z = -4

Simplifying
z = -4

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