3(z-3)=7z

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Solution for 3(z-3)=7z equation:


Simplifying
3(z + -3) = 7z

Reorder the terms:
3(-3 + z) = 7z
(-3 * 3 + z * 3) = 7z
(-9 + 3z) = 7z

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

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

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

Add '9' to each side of the equation.
-9 + 9 + -4z = 0 + 9

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

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

Divide each side by '-4'.
z = -2.25

Simplifying
z = -2.25

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