-(3z+4)=6z-3(z+2)

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Solution for -(3z+4)=6z-3(z+2) equation:


Simplifying
-1(3z + 4) = 6z + -3(z + 2)

Reorder the terms:
-1(4 + 3z) = 6z + -3(z + 2)
(4 * -1 + 3z * -1) = 6z + -3(z + 2)
(-4 + -3z) = 6z + -3(z + 2)

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

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

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

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

Solving for variable 'z'.

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

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

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

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

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

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

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

Divide each side by '-6'.
z = 0.3333333333

Simplifying
z = 0.3333333333

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