8(4z-5)=28-9z

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Solution for 8(4z-5)=28-9z equation:


Simplifying
8(4z + -5) = 28 + -9z

Reorder the terms:
8(-5 + 4z) = 28 + -9z
(-5 * 8 + 4z * 8) = 28 + -9z
(-40 + 32z) = 28 + -9z

Solving
-40 + 32z = 28 + -9z

Solving for variable 'z'.

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

Add '9z' to each side of the equation.
-40 + 32z + 9z = 28 + -9z + 9z

Combine like terms: 32z + 9z = 41z
-40 + 41z = 28 + -9z + 9z

Combine like terms: -9z + 9z = 0
-40 + 41z = 28 + 0
-40 + 41z = 28

Add '40' to each side of the equation.
-40 + 40 + 41z = 28 + 40

Combine like terms: -40 + 40 = 0
0 + 41z = 28 + 40
41z = 28 + 40

Combine like terms: 28 + 40 = 68
41z = 68

Divide each side by '41'.
z = 1.658536585

Simplifying
z = 1.658536585

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