2(4z-1)=3(z+6)

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Solution for 2(4z-1)=3(z+6) equation:


Simplifying
2(4z + -1) = 3(z + 6)

Reorder the terms:
2(-1 + 4z) = 3(z + 6)
(-1 * 2 + 4z * 2) = 3(z + 6)
(-2 + 8z) = 3(z + 6)

Reorder the terms:
-2 + 8z = 3(6 + z)
-2 + 8z = (6 * 3 + z * 3)
-2 + 8z = (18 + 3z)

Solving
-2 + 8z = 18 + 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 = 18 + 3z + -3z

Combine like terms: 8z + -3z = 5z
-2 + 5z = 18 + 3z + -3z

Combine like terms: 3z + -3z = 0
-2 + 5z = 18 + 0
-2 + 5z = 18

Add '2' to each side of the equation.
-2 + 2 + 5z = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 5z = 18 + 2
5z = 18 + 2

Combine like terms: 18 + 2 = 20
5z = 20

Divide each side by '5'.
z = 4

Simplifying
z = 4

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