2(4z-1)=9z+6

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Solution for 2(4z-1)=9z+6 equation:


Simplifying
2(4z + -1) = 9z + 6

Reorder the terms:
2(-1 + 4z) = 9z + 6
(-1 * 2 + 4z * 2) = 9z + 6
(-2 + 8z) = 9z + 6

Reorder the terms:
-2 + 8z = 6 + 9z

Solving
-2 + 8z = 6 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-2 + 8z + -9z = 6 + 9z + -9z

Combine like terms: 8z + -9z = -1z
-2 + -1z = 6 + 9z + -9z

Combine like terms: 9z + -9z = 0
-2 + -1z = 6 + 0
-2 + -1z = 6

Add '2' to each side of the equation.
-2 + 2 + -1z = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -1z = 6 + 2
-1z = 6 + 2

Combine like terms: 6 + 2 = 8
-1z = 8

Divide each side by '-1'.
z = -8

Simplifying
z = -8

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