8(z+4)=5(13-z)

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Solution for 8(z+4)=5(13-z) equation:


Simplifying
8(z + 4) = 5(13 + -1z)

Reorder the terms:
8(4 + z) = 5(13 + -1z)
(4 * 8 + z * 8) = 5(13 + -1z)
(32 + 8z) = 5(13 + -1z)
32 + 8z = (13 * 5 + -1z * 5)
32 + 8z = (65 + -5z)

Solving
32 + 8z = 65 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
32 + 8z + 5z = 65 + -5z + 5z

Combine like terms: 8z + 5z = 13z
32 + 13z = 65 + -5z + 5z

Combine like terms: -5z + 5z = 0
32 + 13z = 65 + 0
32 + 13z = 65

Add '-32' to each side of the equation.
32 + -32 + 13z = 65 + -32

Combine like terms: 32 + -32 = 0
0 + 13z = 65 + -32
13z = 65 + -32

Combine like terms: 65 + -32 = 33
13z = 33

Divide each side by '13'.
z = 2.538461538

Simplifying
z = 2.538461538

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