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

Math
2z-9=-5-2(2z+8)
Simplify -5-2(2z+8).
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Simplify each term.
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Apply the distributive property.
2z-9=-5-2(2z)-2⋅8
Multiply 2 by -2.
2z-9=-5-4z-2⋅8
Multiply -2 by 8.
2z-9=-5-4z-16
2z-9=-5-4z-16
Subtract 16 from -5.
2z-9=-4z-21
2z-9=-4z-21
Move all terms containing z to the left side of the equation.
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Add 4z to both sides of the equation.
2z-9+4z=-21
Add 2z and 4z.
6z-9=-21
6z-9=-21
Move all terms not containing z to the right side of the equation.
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Add 9 to both sides of the equation.
6z=-21+9
Add -21 and 9.
6z=-12
6z=-12
Divide each term by 6 and simplify.
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Divide each term in 6z=-12 by 6.
6z6=-126
Cancel the common factor of 6.
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Cancel the common factor.
6z6=-126
Divide z by 1.
z=-126
z=-126
Divide -12 by 6.
z=-2
z=-2
Solve for z 2z-9=-5-2(2z+8)

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