10z-4=5z+11

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Solution for 10z-4=5z+11 equation:


Simplifying
10z + -4 = 5z + 11

Reorder the terms:
-4 + 10z = 5z + 11

Reorder the terms:
-4 + 10z = 11 + 5z

Solving
-4 + 10z = 11 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-4 + 10z + -5z = 11 + 5z + -5z

Combine like terms: 10z + -5z = 5z
-4 + 5z = 11 + 5z + -5z

Combine like terms: 5z + -5z = 0
-4 + 5z = 11 + 0
-4 + 5z = 11

Add '4' to each side of the equation.
-4 + 4 + 5z = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 5z = 11 + 4
5z = 11 + 4

Combine like terms: 11 + 4 = 15
5z = 15

Divide each side by '5'.
z = 3

Simplifying
z = 3

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