2z+1=10z-1

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Solution for 2z+1=10z-1 equation:


Simplifying
2z + 1 = 10z + -1

Reorder the terms:
1 + 2z = 10z + -1

Reorder the terms:
1 + 2z = -1 + 10z

Solving
1 + 2z = -1 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
1 + 2z + -10z = -1 + 10z + -10z

Combine like terms: 2z + -10z = -8z
1 + -8z = -1 + 10z + -10z

Combine like terms: 10z + -10z = 0
1 + -8z = -1 + 0
1 + -8z = -1

Add '-1' to each side of the equation.
1 + -1 + -8z = -1 + -1

Combine like terms: 1 + -1 = 0
0 + -8z = -1 + -1
-8z = -1 + -1

Combine like terms: -1 + -1 = -2
-8z = -2

Divide each side by '-8'.
z = 0.25

Simplifying
z = 0.25

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