14z-10z-8z-4=z-3z-10z+1

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Solution for 14z-10z-8z-4=z-3z-10z+1 equation:


Simplifying
14z + -10z + -8z + -4 = z + -3z + -10z + 1

Reorder the terms:
-4 + 14z + -10z + -8z = z + -3z + -10z + 1

Combine like terms: 14z + -10z = 4z
-4 + 4z + -8z = z + -3z + -10z + 1

Combine like terms: 4z + -8z = -4z
-4 + -4z = z + -3z + -10z + 1

Reorder the terms:
-4 + -4z = 1 + z + -3z + -10z

Combine like terms: z + -3z = -2z
-4 + -4z = 1 + -2z + -10z

Combine like terms: -2z + -10z = -12z
-4 + -4z = 1 + -12z

Solving
-4 + -4z = 1 + -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
-4 + -4z + 12z = 1 + -12z + 12z

Combine like terms: -4z + 12z = 8z
-4 + 8z = 1 + -12z + 12z

Combine like terms: -12z + 12z = 0
-4 + 8z = 1 + 0
-4 + 8z = 1

Add '4' to each side of the equation.
-4 + 4 + 8z = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 8z = 1 + 4
8z = 1 + 4

Combine like terms: 1 + 4 = 5
8z = 5

Divide each side by '8'.
z = 0.625

Simplifying
z = 0.625

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