4(3z-1)=6(3-z)

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Solution for 4(3z-1)=6(3-z) equation:


Simplifying
4(3z + -1) = 6(3 + -1z)

Reorder the terms:
4(-1 + 3z) = 6(3 + -1z)
(-1 * 4 + 3z * 4) = 6(3 + -1z)
(-4 + 12z) = 6(3 + -1z)
-4 + 12z = (3 * 6 + -1z * 6)
-4 + 12z = (18 + -6z)

Solving
-4 + 12z = 18 + -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.
-4 + 12z + 6z = 18 + -6z + 6z

Combine like terms: 12z + 6z = 18z
-4 + 18z = 18 + -6z + 6z

Combine like terms: -6z + 6z = 0
-4 + 18z = 18 + 0
-4 + 18z = 18

Add '4' to each side of the equation.
-4 + 4 + 18z = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 18z = 18 + 4
18z = 18 + 4

Combine like terms: 18 + 4 = 22
18z = 22

Divide each side by '18'.
z = 1.222222222

Simplifying
z = 1.222222222

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