6z-3=4z+9

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Solution for 6z-3=4z+9 equation:


Simplifying
6z + -3 = 4z + 9

Reorder the terms:
-3 + 6z = 4z + 9

Reorder the terms:
-3 + 6z = 9 + 4z

Solving
-3 + 6z = 9 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-3 + 6z + -4z = 9 + 4z + -4z

Combine like terms: 6z + -4z = 2z
-3 + 2z = 9 + 4z + -4z

Combine like terms: 4z + -4z = 0
-3 + 2z = 9 + 0
-3 + 2z = 9

Add '3' to each side of the equation.
-3 + 3 + 2z = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 2z = 9 + 3
2z = 9 + 3

Combine like terms: 9 + 3 = 12
2z = 12

Divide each side by '2'.
z = 6

Simplifying
z = 6

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