3+2z-1=6z+4-32

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Solution for 3+2z-1=6z+4-32 equation: 


Simplifying
3 + 2z + -1 = 6z + 4 + -32

Reorder the terms:
3 + -1 + 2z = 6z + 4 + -32

Combine like terms: 3 + -1 = 2
2 + 2z = 6z + 4 + -32

Reorder the terms:
2 + 2z = 4 + -32 + 6z

Combine like terms: 4 + -32 = -28
2 + 2z = -28 + 6z

Solving
2 + 2z = -28 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
2 + 2z + -6z = -28 + 6z + -6z

Combine like terms: 2z + -6z = -4z
2 + -4z = -28 + 6z + -6z

Combine like terms: 6z + -6z = 0
2 + -4z = -28 + 0
2 + -4z = -28

Add '-2' to each side of the equation.
2 + -2 + -4z = -28 + -2

Combine like terms: 2 + -2 = 0
0 + -4z = -28 + -2
-4z = -28 + -2

Combine like terms: -28 + -2 = -30
-4z = -30

Divide each side by '-4'.
z = 7.5

Simplifying
z = 7.5

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