3z-1=2z+6

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


Simplifying
3z + -1 = 2z + 6

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

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

Solving
-1 + 3z = 6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-1 + 3z + -2z = 6 + 2z + -2z

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

Combine like terms: 2z + -2z = 0
-1 + 1z = 6 + 0
-1 + 1z = 6

Add '1' to each side of the equation.
-1 + 1 + 1z = 6 + 1

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

Combine like terms: 6 + 1 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7

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