Solve the following equations. Make sure you show each step of the work including any Distributive Property, Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)

A) -18 B) r=10 C) x=-4

Step-by-step explanation:

A) 1d + 12 = 14-20

Step 1: Simplify both sides of the equation.

1d+12=14−20

d+12=14+−20

d+12=(14+−20)(Combine Like Terms)

d+12=−6

d+12=−6

Step 2: Subtract 12 from both sides.

d+12−12=−6−12

d=−18

d=−18

B) 4(20+5) = 10r

Step 1: Simplify both sides of the equation.

100=10r

Step 2: Flip the equation.

10r=100

Step 3: Divide both sides by 10.      

r=10

C) -2(5 + x) - 1 = 3(x + 3)

Step 1: Simplify both sides of the equation.

−2(5+x)−1=3(x+3)

(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)

−10+−2x+−1=3x+9

(−2x)+(−10+−1)=3x+9(Combine Like Terms)

−2x+−11=3x+9

−2x−11=3x+9

Step 2: Subtract 3x from both sides.

−2x−11−3x=3x+9−3x

−5x−11=9

Step 3: Add 11 to both sides.

−5x−11+11=9+11

−5x=20

Step 4: Divide both sides by -5.

x=−4

so then what are you asking?

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.