8(3z-4)+5.12(z-2)=-8

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Solution for 8(3z-4)+5.12(z-2)=-8 equation:


Simplifying
8(3z + -4) + 5.12(z + -2) = -8

Reorder the terms:
8(-4 + 3z) + 5.12(z + -2) = -8
(-4 * 8 + 3z * 8) + 5.12(z + -2) = -8
(-32 + 24z) + 5.12(z + -2) = -8

Reorder the terms:
-32 + 24z + 5.12(-2 + z) = -8
-32 + 24z + (-2 * 5.12 + z * 5.12) = -8
-32 + 24z + (-10.24 + 5.12z) = -8

Reorder the terms:
-32 + -10.24 + 24z + 5.12z = -8

Combine like terms: -32 + -10.24 = -42.24
-42.24 + 24z + 5.12z = -8

Combine like terms: 24z + 5.12z = 29.12z
-42.24 + 29.12z = -8

Solving
-42.24 + 29.12z = -8

Solving for variable 'z'.

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

Add '42.24' to each side of the equation.
-42.24 + 42.24 + 29.12z = -8 + 42.24

Combine like terms: -42.24 + 42.24 = 0.00
0.00 + 29.12z = -8 + 42.24
29.12z = -8 + 42.24

Combine like terms: -8 + 42.24 = 34.24
29.12z = 34.24

Divide each side by '29.12'.
z = 1.175824176

Simplifying
z = 1.175824176

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