I need to show all my work, please.

2r + 49 = -8 (-r - 5)

2r+49=-8(-r-5)

-8*-1r   -8*-5

2r+49=8r+40

40-49

2r=8r-9

2r-8r

-6r=-9

/-6

r=3/2

a=r

d=q

c=p

b=s

hope this !

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752