3z+11=8z-26

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Solution for 3z+11=8z-26 equation:


Simplifying
3z + 11 = 8z + -26

Reorder the terms:
11 + 3z = 8z + -26

Reorder the terms:
11 + 3z = -26 + 8z

Solving
11 + 3z = -26 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
11 + 3z + -8z = -26 + 8z + -8z

Combine like terms: 3z + -8z = -5z
11 + -5z = -26 + 8z + -8z

Combine like terms: 8z + -8z = 0
11 + -5z = -26 + 0
11 + -5z = -26

Add '-11' to each side of the equation.
11 + -11 + -5z = -26 + -11

Combine like terms: 11 + -11 = 0
0 + -5z = -26 + -11
-5z = -26 + -11

Combine like terms: -26 + -11 = -37
-5z = -37

Divide each side by '-5'.
z = 7.4

Simplifying
z = 7.4

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