2z+1=6z+9

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Solution for 2z+1=6z+9 equation:


Simplifying
2z + 1 = 6z + 9

Reorder the terms:
1 + 2z = 6z + 9

Reorder the terms:
1 + 2z = 9 + 6z

Solving
1 + 2z = 9 + 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.
1 + 2z + -6z = 9 + 6z + -6z

Combine like terms: 2z + -6z = -4z
1 + -4z = 9 + 6z + -6z

Combine like terms: 6z + -6z = 0
1 + -4z = 9 + 0
1 + -4z = 9

Add '-1' to each side of the equation.
1 + -1 + -4z = 9 + -1

Combine like terms: 1 + -1 = 0
0 + -4z = 9 + -1
-4z = 9 + -1

Combine like terms: 9 + -1 = 8
-4z = 8

Divide each side by '-4'.
z = -2

Simplifying
z = -2

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