6z+8-.5(2z+20)=18

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Solution for 6z+8-.5(2z+20)=18 equation:


Simplifying
6z + 8 + -0.5(2z + 20) = 18

Reorder the terms:
6z + 8 + -0.5(20 + 2z) = 18
6z + 8 + (20 * -0.5 + 2z * -0.5) = 18
6z + 8 + (-10 + -1z) = 18

Reorder the terms:
8 + -10 + 6z + -1z = 18

Combine like terms: 8 + -10 = -2
-2 + 6z + -1z = 18

Combine like terms: 6z + -1z = 5z
-2 + 5z = 18

Solving
-2 + 5z = 18

Solving for variable 'z'.

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

Add '2' to each side of the equation.
-2 + 2 + 5z = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 5z = 18 + 2
5z = 18 + 2

Combine like terms: 18 + 2 = 20
5z = 20

Divide each side by '5'.
z = 4

Simplifying
z = 4

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