2z-9=-5-2(2z+8)

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Solution for 2z-9=-5-2(2z+8) equation:


Simplifying
2z + -9 = -5 + -2(2z + 8)

Reorder the terms:
-9 + 2z = -5 + -2(2z + 8)

Reorder the terms:
-9 + 2z = -5 + -2(8 + 2z)
-9 + 2z = -5 + (8 * -2 + 2z * -2)
-9 + 2z = -5 + (-16 + -4z)

Combine like terms: -5 + -16 = -21
-9 + 2z = -21 + -4z

Solving
-9 + 2z = -21 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-9 + 2z + 4z = -21 + -4z + 4z

Combine like terms: 2z + 4z = 6z
-9 + 6z = -21 + -4z + 4z

Combine like terms: -4z + 4z = 0
-9 + 6z = -21 + 0
-9 + 6z = -21

Add '9' to each side of the equation.
-9 + 9 + 6z = -21 + 9

Combine like terms: -9 + 9 = 0
0 + 6z = -21 + 9
6z = -21 + 9

Combine like terms: -21 + 9 = -12
6z = -12

Divide each side by '6'.
z = -2

Simplifying
z = -2

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