-2(z+4)=46

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Solution for -2(z+4)=46 equation: 


Simplifying
-2(z + 4) = 46

Reorder the terms:
-2(4 + z) = 46
(4 * -2 + z * -2) = 46
(-8 + -2z) = 46

Solving
-8 + -2z = 46

Solving for variable 'z'.

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

Add '8' to each side of the equation.
-8 + 8 + -2z = 46 + 8

Combine like terms: -8 + 8 = 0
0 + -2z = 46 + 8
-2z = 46 + 8

Combine like terms: 46 + 8 = 54
-2z = 54

Divide each side by '-2'.
z = -27

Simplifying
z = -27

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