10z+1=5z-5

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Solution for 10z+1=5z-5 equation:


Simplifying
10z + 1 = 5z + -5

Reorder the terms:
1 + 10z = 5z + -5

Reorder the terms:
1 + 10z = -5 + 5z

Solving
1 + 10z = -5 + 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.
1 + 10z + -5z = -5 + 5z + -5z

Combine like terms: 10z + -5z = 5z
1 + 5z = -5 + 5z + -5z

Combine like terms: 5z + -5z = 0
1 + 5z = -5 + 0
1 + 5z = -5

Add '-1' to each side of the equation.
1 + -1 + 5z = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 5z = -5 + -1
5z = -5 + -1

Combine like terms: -5 + -1 = -6
5z = -6

Divide each side by '5'.
z = -1.2

Simplifying
z = -1.2

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