8z-7=5z+14

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


Simplifying
8z + -7 = 5z + 14

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

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

Solving
-7 + 8z = 14 + 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.
-7 + 8z + -5z = 14 + 5z + -5z

Combine like terms: 8z + -5z = 3z
-7 + 3z = 14 + 5z + -5z

Combine like terms: 5z + -5z = 0
-7 + 3z = 14 + 0
-7 + 3z = 14

Add '7' to each side of the equation.
-7 + 7 + 3z = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 3z = 14 + 7
3z = 14 + 7

Combine like terms: 14 + 7 = 21
3z = 21

Divide each side by '3'.
z = 7

Simplifying
z = 7

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