8-5(4-3z)=2(4-z)-8z

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Solution for 8-5(4-3z)=2(4-z)-8z equation:


Simplifying
8 + -5(4 + -3z) = 2(4 + -1z) + -8z
8 + (4 * -5 + -3z * -5) = 2(4 + -1z) + -8z
8 + (-20 + 15z) = 2(4 + -1z) + -8z

Combine like terms: 8 + -20 = -12
-12 + 15z = 2(4 + -1z) + -8z
-12 + 15z = (4 * 2 + -1z * 2) + -8z
-12 + 15z = (8 + -2z) + -8z

Combine like terms: -2z + -8z = -10z
-12 + 15z = 8 + -10z

Solving
-12 + 15z = 8 + -10z

Solving for variable 'z'.

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

Add '10z' to each side of the equation.
-12 + 15z + 10z = 8 + -10z + 10z

Combine like terms: 15z + 10z = 25z
-12 + 25z = 8 + -10z + 10z

Combine like terms: -10z + 10z = 0
-12 + 25z = 8 + 0
-12 + 25z = 8

Add '12' to each side of the equation.
-12 + 12 + 25z = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 25z = 8 + 12
25z = 8 + 12

Combine like terms: 8 + 12 = 20
25z = 20

Divide each side by '25'.
z = 0.8

Simplifying
z = 0.8

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