3+2z-1=9z+21-5z

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Solution for 3+2z-1=9z+21-5z equation:


Simplifying
3 + 2z + -1 = 9z + 21 + -5z

Reorder the terms:
3 + -1 + 2z = 9z + 21 + -5z

Combine like terms: 3 + -1 = 2
2 + 2z = 9z + 21 + -5z

Reorder the terms:
2 + 2z = 21 + 9z + -5z

Combine like terms: 9z + -5z = 4z
2 + 2z = 21 + 4z

Solving
2 + 2z = 21 + 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.
2 + 2z + -4z = 21 + 4z + -4z

Combine like terms: 2z + -4z = -2z
2 + -2z = 21 + 4z + -4z

Combine like terms: 4z + -4z = 0
2 + -2z = 21 + 0
2 + -2z = 21

Add '-2' to each side of the equation.
2 + -2 + -2z = 21 + -2

Combine like terms: 2 + -2 = 0
0 + -2z = 21 + -2
-2z = 21 + -2

Combine like terms: 21 + -2 = 19
-2z = 19

Divide each side by '-2'.
z = -9.5

Simplifying
z = -9.5

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