2(3z-6)+8(2z+4)=

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Solution for 2(3z-6)+8(2z+4)= equation:


Simplifying
2(3z + -6) + 8(2z + 4) = 0

Reorder the terms:
2(-6 + 3z) + 8(2z + 4) = 0
(-6 * 2 + 3z * 2) + 8(2z + 4) = 0
(-12 + 6z) + 8(2z + 4) = 0

Reorder the terms:
-12 + 6z + 8(4 + 2z) = 0
-12 + 6z + (4 * 8 + 2z * 8) = 0
-12 + 6z + (32 + 16z) = 0

Reorder the terms:
-12 + 32 + 6z + 16z = 0

Combine like terms: -12 + 32 = 20
20 + 6z + 16z = 0

Combine like terms: 6z + 16z = 22z
20 + 22z = 0

Solving
20 + 22z = 0

Solving for variable 'z'.

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

Add '-20' to each side of the equation.
20 + -20 + 22z = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 22z = 0 + -20
22z = 0 + -20

Combine like terms: 0 + -20 = -20
22z = -20

Divide each side by '22'.
z = -0.9090909091

Simplifying
z = -0.9090909091

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