3(2z-3)=4z+1

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Solution for 3(2z-3)=4z+1 equation:


Simplifying
3(2z + -3) = 4z + 1

Reorder the terms:
3(-3 + 2z) = 4z + 1
(-3 * 3 + 2z * 3) = 4z + 1
(-9 + 6z) = 4z + 1

Reorder the terms:
-9 + 6z = 1 + 4z

Solving
-9 + 6z = 1 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-9 + 6z + -4z = 1 + 4z + -4z

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

Combine like terms: 4z + -4z = 0
-9 + 2z = 1 + 0
-9 + 2z = 1

Add '9' to each side of the equation.
-9 + 9 + 2z = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 2z = 1 + 9
2z = 1 + 9

Combine like terms: 1 + 9 = 10
2z = 10

Divide each side by '2'.
z = 5

Simplifying
z = 5

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