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

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


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

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

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

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

Solving
-2 + 8z = 3 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-2 + 8z + -1z = 3 + z + -1z

Combine like terms: 8z + -1z = 7z
-2 + 7z = 3 + z + -1z

Combine like terms: z + -1z = 0
-2 + 7z = 3 + 0
-2 + 7z = 3

Add '2' to each side of the equation.
-2 + 2 + 7z = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 7z = 3 + 2
7z = 3 + 2

Combine like terms: 3 + 2 = 5
7z = 5

Divide each side by '7'.
z = 0.7142857143

Simplifying
z = 0.7142857143

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