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

2 Answers

0 votes

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

User Sarnesjo
by
5.0k points
5 votes

Answer:


\bold{d=(20)/(3) \ or \ 6.66666666667}

Step-by-step explanation:


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

[ Subtract 12 From Both Sides ]


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

[ Simplify ]


\bold{-3\left(d+16\right)=-68}

[ Divide Both Sides By -3 ]


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

[ Simplify ]


\bold{d+16=(68)/(3)}

[ Subtract 16 From Both Sides ]


\bold{d+16-16=(68)/(3)-16}

[ Simplify ]


\bold{d=(20)/(3)}

User Dmitry  Meshkov
by
5.3k points