Exercise 24 Page 9

To solve the equation, we have to isolate w on one side. Using the Multiplication Property of Equality, we will multiply both sides of the equation by - 8. This will eliminate the denominator of the fraction and isolate w.

6=- w/8

MoveNegFracToDenom

Put minus sign in denominator

6=w/- 8

MultEqn

LHS * (- 8)=RHS* (- 8)

6(- 8)=w/- 8(- 8)

MultPosNeg

a(- b)=- a * b

- 6(8)=w/- 8(- 8)

Multiply

Multiply

- 48=w/- 8(- 8)

FracMultDenomToNumber

a/(- 8)* (- 8) = a

- 48=w

RearrangeEqn

Rearrange equation

w=- 48

To check that this solution is correct, let's substitute w= - 48 into the original equation and simplify.

6=- w/8

Substitute

w= - 48

6? =- (- 48/8)

▼

Simplify right-hand side

MoveNegFracToNum

Put minus sign in numerator

6? = -(- 48)/8

NegNeg

- (- a)=a

6? = 48/8

CalcQuot

Calculate quotient

6=6 ✓

Since the left-hand side and right-hand side are equal, w=- 48 is the correct solution.