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

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


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

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

Reorder the terms:
-16 + 16z = 5(5 + z) + 3
-16 + 16z = (5 * 5 + z * 5) + 3
-16 + 16z = (25 + 5z) + 3

Reorder the terms:
-16 + 16z = 25 + 3 + 5z

Combine like terms: 25 + 3 = 28
-16 + 16z = 28 + 5z

Solving
-16 + 16z = 28 + 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.
-16 + 16z + -5z = 28 + 5z + -5z

Combine like terms: 16z + -5z = 11z
-16 + 11z = 28 + 5z + -5z

Combine like terms: 5z + -5z = 0
-16 + 11z = 28 + 0
-16 + 11z = 28

Add '16' to each side of the equation.
-16 + 16 + 11z = 28 + 16

Combine like terms: -16 + 16 = 0
0 + 11z = 28 + 16
11z = 28 + 16

Combine like terms: 28 + 16 = 44
11z = 44

Divide each side by '11'.
z = 4

Simplifying
z = 4

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