4[3z-2]=9z-7

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Solution for 4[3z-2]=9z-7 equation:


Simplifying
4[3z + -2] = 9z + -7

Reorder the terms:
4[-2 + 3z] = 9z + -7
[-2 * 4 + 3z * 4] = 9z + -7
[-8 + 12z] = 9z + -7

Reorder the terms:
-8 + 12z = -7 + 9z

Solving
-8 + 12z = -7 + 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.
-8 + 12z + -9z = -7 + 9z + -9z

Combine like terms: 12z + -9z = 3z
-8 + 3z = -7 + 9z + -9z

Combine like terms: 9z + -9z = 0
-8 + 3z = -7 + 0
-8 + 3z = -7

Add '8' to each side of the equation.
-8 + 8 + 3z = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 3z = -7 + 8
3z = -7 + 8

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

Divide each side by '3'.
z = 0.3333333333

Simplifying
z = 0.3333333333

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