2z+11=8z+15

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Solution for 2z+11=8z+15 equation:


Simplifying
2z + 11 = 8z + 15

Reorder the terms:
11 + 2z = 8z + 15

Reorder the terms:
11 + 2z = 15 + 8z

Solving
11 + 2z = 15 + 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 + 2z + -8z = 15 + 8z + -8z

Combine like terms: 2z + -8z = -6z
11 + -6z = 15 + 8z + -8z

Combine like terms: 8z + -8z = 0
11 + -6z = 15 + 0
11 + -6z = 15

Add '-11' to each side of the equation.
11 + -11 + -6z = 15 + -11

Combine like terms: 11 + -11 = 0
0 + -6z = 15 + -11
-6z = 15 + -11

Combine like terms: 15 + -11 = 4
-6z = 4

Divide each side by '-6'.
z = -0.6666666667

Simplifying
z = -0.6666666667

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