3(4z-1)=4(2z+9)-7

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Solution for 3(4z-1)=4(2z+9)-7 equation:


Simplifying
3(4z + -1) = 4(2z + 9) + -7

Reorder the terms:
3(-1 + 4z) = 4(2z + 9) + -7
(-1 * 3 + 4z * 3) = 4(2z + 9) + -7
(-3 + 12z) = 4(2z + 9) + -7

Reorder the terms:
-3 + 12z = 4(9 + 2z) + -7
-3 + 12z = (9 * 4 + 2z * 4) + -7
-3 + 12z = (36 + 8z) + -7

Reorder the terms:
-3 + 12z = 36 + -7 + 8z

Combine like terms: 36 + -7 = 29
-3 + 12z = 29 + 8z

Solving
-3 + 12z = 29 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-3 + 12z + -8z = 29 + 8z + -8z

Combine like terms: 12z + -8z = 4z
-3 + 4z = 29 + 8z + -8z

Combine like terms: 8z + -8z = 0
-3 + 4z = 29 + 0
-3 + 4z = 29

Add '3' to each side of the equation.
-3 + 3 + 4z = 29 + 3

Combine like terms: -3 + 3 = 0
0 + 4z = 29 + 3
4z = 29 + 3

Combine like terms: 29 + 3 = 32
4z = 32

Divide each side by '4'.
z = 8

Simplifying
z = 8

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