5z-8=2(4z+2)

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Solution for 5z-8=2(4z+2) equation:


Simplifying
5z + -8 = 2(4z + 2)

Reorder the terms:
-8 + 5z = 2(4z + 2)

Reorder the terms:
-8 + 5z = 2(2 + 4z)
-8 + 5z = (2 * 2 + 4z * 2)
-8 + 5z = (4 + 8z)

Solving
-8 + 5z = 4 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-8 + 5z + -8z = 4 + 8z + -8z

Combine like terms: 5z + -8z = -3z
-8 + -3z = 4 + 8z + -8z

Combine like terms: 8z + -8z = 0
-8 + -3z = 4 + 0
-8 + -3z = 4

Add '8' to each side of the equation.
-8 + 8 + -3z = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -3z = 4 + 8
-3z = 4 + 8

Combine like terms: 4 + 8 = 12
-3z = 12

Divide each side by '-3'.
z = -4

Simplifying
z = -4

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