Question

10(d+3)–(−9d–4)=d–5+3

What value of d makes the equation TRUE?

Answer 1

ANSWER

The value of d that makes the equation true is

$d = - 2$



EXPLANATION

The given equation is

$10(d + 3) - ( - 9d - 4) = d - 5 + 3$


We expand brackets to obtain,

$10d + 30 + 9d + 4= d - 5 + 3$


We group like terms to obtain,

$10d +9d - d = - 30 - 5 + 3 - 4$


This simplifies to


$18d = - 36$


We divide both sides by 18 to get,

$d = - 2$

Answer 2

Answer:

d=-2

Step-by-step explanation:

We have

$10(d+3)-(-9d-4)=d-5+3$

now we remove parenthesis and use distribution property

$10d+30+9d+4=d-5+3$

now we combine like terms

$10d+9d+30+4=d-2$

$19d+34=d-2$

$19d-d+34=-2$     (subtract d from both side )

$18d=-2-34$  ( subtract 34 from both side )

$18d=-36$

$d=\frac{-36}{18}$    ( divide both side by 18)

$d=-2$