Question

Solve the following equations. Make sure you show each step of the work including any Distributive Property,

Answer 1

Answer:

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

Answer:

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