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

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


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

Reorder the terms:
2(-1 + 4z) = (3z + 2)
(-1 * 2 + 4z * 2) = (3z + 2)
(-2 + 8z) = (3z + 2)

Reorder the terms:
-2 + 8z = (2 + 3z)

Remove parenthesis around (2 + 3z)
-2 + 8z = 2 + 3z

Solving
-2 + 8z = 2 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-2 + 8z + -3z = 2 + 3z + -3z

Combine like terms: 8z + -3z = 5z
-2 + 5z = 2 + 3z + -3z

Combine like terms: 3z + -3z = 0
-2 + 5z = 2 + 0
-2 + 5z = 2

Add '2' to each side of the equation.
-2 + 2 + 5z = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 5z = 2 + 2
5z = 2 + 2

Combine like terms: 2 + 2 = 4
5z = 4

Divide each side by '5'.
z = 0.8

Simplifying
z = 0.8

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