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

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


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

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

Reorder the terms:
-4 + -3z = 3z + -3(2 + 3z)
-4 + -3z = 3z + (2 * -3 + 3z * -3)
-4 + -3z = 3z + (-6 + -9z)

Reorder the terms:
-4 + -3z = -6 + 3z + -9z

Combine like terms: 3z + -9z = -6z
-4 + -3z = -6 + -6z

Solving
-4 + -3z = -6 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
-4 + -3z + 6z = -6 + -6z + 6z

Combine like terms: -3z + 6z = 3z
-4 + 3z = -6 + -6z + 6z

Combine like terms: -6z + 6z = 0
-4 + 3z = -6 + 0
-4 + 3z = -6

Add '4' to each side of the equation.
-4 + 4 + 3z = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 3z = -6 + 4
3z = -6 + 4

Combine like terms: -6 + 4 = -2
3z = -2

Divide each side by '3'.
z = -0.6666666667

Simplifying
z = -0.6666666667

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