3(3z-1)-3(3-4z)=12

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Solution for 3(3z-1)-3(3-4z)=12 equation:


Simplifying
3(3z + -1) + -3(3 + -4z) = 12

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

Reorder the terms:
-3 + -9 + 9z + 12z = 12

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

Combine like terms: 9z + 12z = 21z
-12 + 21z = 12

Solving
-12 + 21z = 12

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 21z = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 21z = 12 + 12
21z = 12 + 12

Combine like terms: 12 + 12 = 24
21z = 24

Divide each side by '21'.
z = 1.142857143

Simplifying
z = 1.142857143

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