2z-3=-6z+1

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


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

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

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

Solving
-3 + 2z = 1 + -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.
-3 + 2z + 6z = 1 + -6z + 6z

Combine like terms: 2z + 6z = 8z
-3 + 8z = 1 + -6z + 6z

Combine like terms: -6z + 6z = 0
-3 + 8z = 1 + 0
-3 + 8z = 1

Add '3' to each side of the equation.
-3 + 3 + 8z = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 8z = 1 + 3
8z = 1 + 3

Combine like terms: 1 + 3 = 4
8z = 4

Divide each side by '8'.
z = 0.5

Simplifying
z = 0.5

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