8z-5=14z+7

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Solution for 8z-5=14z+7 equation:


Simplifying
8z + -5 = 14z + 7

Reorder the terms:
-5 + 8z = 14z + 7

Reorder the terms:
-5 + 8z = 7 + 14z

Solving
-5 + 8z = 7 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
-5 + 8z + -14z = 7 + 14z + -14z

Combine like terms: 8z + -14z = -6z
-5 + -6z = 7 + 14z + -14z

Combine like terms: 14z + -14z = 0
-5 + -6z = 7 + 0
-5 + -6z = 7

Add '5' to each side of the equation.
-5 + 5 + -6z = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -6z = 7 + 5
-6z = 7 + 5

Combine like terms: 7 + 5 = 12
-6z = 12

Divide each side by '-6'.
z = -2

Simplifying
z = -2

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