3+5z-1=9z+4-2z

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Solution for 3+5z-1=9z+4-2z equation:


Simplifying
3 + 5z + -1 = 9z + 4 + -2z

Reorder the terms:
3 + -1 + 5z = 9z + 4 + -2z

Combine like terms: 3 + -1 = 2
2 + 5z = 9z + 4 + -2z

Reorder the terms:
2 + 5z = 4 + 9z + -2z

Combine like terms: 9z + -2z = 7z
2 + 5z = 4 + 7z

Solving
2 + 5z = 4 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
2 + 5z + -7z = 4 + 7z + -7z

Combine like terms: 5z + -7z = -2z
2 + -2z = 4 + 7z + -7z

Combine like terms: 7z + -7z = 0
2 + -2z = 4 + 0
2 + -2z = 4

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

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

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

Divide each side by '-2'.
z = -1

Simplifying
z = -1

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