12 - 3/4 (d + 16) = negative 5

Answer: d=20/3

Step By Step:

Step 1, Simplify:

12-3/4(d+16)=-5

(-3/4)d+(12-12)=-5

(-3/4)d=-5

Step 2, Multiply each side by 4/(-3)

(4/-3)*(-3/4)d=(4/-3)*-5

d=20/3

Answer:

[tex]\bold{d=\frac{20}{3} \ or \ 6.66666666667}[/tex]

Explanation:

[tex]\bold{12-\frac{3}{4}\left(d+16\right)=-5}[/tex]

[ Subtract 12 From Both Sides ]

[tex]\bold{12-\frac{3}{4}\left(d+16\right)-12=-5-12}[/tex]

[ Simplify ]

[tex]\bold{-3\left(d+16\right)=-68}[/tex]

[ Divide Both Sides By -3 ]

[tex]\bold{\frac{-3\left(d+16\right)}{-3}=\frac{-68}{-3}}[/tex]

[ Simplify ]

[tex]\bold{d+16=\frac{68}{3}}[/tex]

[ Subtract 16 From Both Sides ]

[tex]\bold{d+16-16=\frac{68}{3}-16}[/tex]

[ Simplify ]

[tex]\bold{d=\frac{20}{3}}[/tex]

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