3z-5=11z-37

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Solution for 3z-5=11z-37 equation:


Simplifying
3z + -5 = 11z + -37

Reorder the terms:
-5 + 3z = 11z + -37

Reorder the terms:
-5 + 3z = -37 + 11z

Solving
-5 + 3z = -37 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
-5 + 3z + -11z = -37 + 11z + -11z

Combine like terms: 3z + -11z = -8z
-5 + -8z = -37 + 11z + -11z

Combine like terms: 11z + -11z = 0
-5 + -8z = -37 + 0
-5 + -8z = -37

Add '5' to each side of the equation.
-5 + 5 + -8z = -37 + 5

Combine like terms: -5 + 5 = 0
0 + -8z = -37 + 5
-8z = -37 + 5

Combine like terms: -37 + 5 = -32
-8z = -32

Divide each side by '-8'.
z = 4

Simplifying
z = 4

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