Exercise 52 Page 121

To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by evaluating the product of the right-hand side.

- 4.8 = -4(2.4d)

MultNegPos

(- a)b = - ab

- 4.8 = - 9.6d

DivEqn

.LHS /(-9.6).=.RHS /(-9.6).

\dfrac{\text{-} 4.8}{\text{-}9.6} = \dfrac {\text{-} 9.6d}{\text{-} 9.6}

DivNegNeg

- a/- b=a/b

\dfrac{4.8}{9.6} = \dfrac {9.6d}{9.6}

CalcQuot

Calculate quotient

0.5 = d

RearrangeEqn

Rearrange equation

d = 0.5

The solution to the equation is d=0.5. We can check our solution by substituting it into the original equation.

- 4.8 = -4(2.4d)

Substitute

d= 0.5

- 4.8 ? = -4(2.4 ( 0.5))

Multiply

Multiply

- 4.8 ? = -4(1.2)

MultNegPos

(- a)b = - ab

- 4.8 = - 4.8

Since the left-hand side is equal to the right-hand side, our solution is correct.