3z+9=7z+26

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Solution for 3z+9=7z+26 equation:


Simplifying
3z + 9 = 7z + 26

Reorder the terms:
9 + 3z = 7z + 26

Reorder the terms:
9 + 3z = 26 + 7z

Solving
9 + 3z = 26 + 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.
9 + 3z + -7z = 26 + 7z + -7z

Combine like terms: 3z + -7z = -4z
9 + -4z = 26 + 7z + -7z

Combine like terms: 7z + -7z = 0
9 + -4z = 26 + 0
9 + -4z = 26

Add '-9' to each side of the equation.
9 + -9 + -4z = 26 + -9

Combine like terms: 9 + -9 = 0
0 + -4z = 26 + -9
-4z = 26 + -9

Combine like terms: 26 + -9 = 17
-4z = 17

Divide each side by '-4'.
z = -4.25

Simplifying
z = -4.25

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