5(2z+8)=16-3(z-8)

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Solution for 5(2z+8)=16-3(z-8) equation:


Simplifying
5(2z + 8) = 16 + -3(z + -8)

Reorder the terms:
5(8 + 2z) = 16 + -3(z + -8)
(8 * 5 + 2z * 5) = 16 + -3(z + -8)
(40 + 10z) = 16 + -3(z + -8)

Reorder the terms:
40 + 10z = 16 + -3(-8 + z)
40 + 10z = 16 + (-8 * -3 + z * -3)
40 + 10z = 16 + (24 + -3z)

Combine like terms: 16 + 24 = 40
40 + 10z = 40 + -3z

Add '-40' to each side of the equation.
40 + -40 + 10z = 40 + -40 + -3z

Combine like terms: 40 + -40 = 0
0 + 10z = 40 + -40 + -3z
10z = 40 + -40 + -3z

Combine like terms: 40 + -40 = 0
10z = 0 + -3z
10z = -3z

Solving
10z = -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
10z + 3z = -3z + 3z

Combine like terms: 10z + 3z = 13z
13z = -3z + 3z

Combine like terms: -3z + 3z = 0
13z = 0

Divide each side by '13'.
z = 0

Simplifying
z = 0

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