Question

18.4 + 8w = 6 (9w - 4.6)

Answer 1

Answer:

Step-by-step explanation:

18.4 + 8w = 6(-4.6 + 9w)

18.4 + 8w = (-4.6 * 6 + 9w * 6)

18.4 + 8w = (-27.6 + 54w)

18.4 + 8w + -54w = -27.6 + 54w + -54w

18.4 + -46w = -27.6 + 54w + -54w

18.4 + -18.4 + -46w = -27.6 + -18.4

Combine like terms: 18.4 + -18.4 = 0.0

0.0 + -46w = -27.6 + -18.4

-46w = -27.6 + -18.4

-27.6 + -18.4 = -46

-46w = -46

w = 1

Simplifying

w = 1

Answer 2

Answer:

W = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

18.4+8w=6(9w−4.6)

18.4+8w=(6)(9w)+(6)(−4.6)(Distribute)

18.4+8w=54w+−27.6

8w+18.4=54w−27.6

Step 2: Subtract 54w from both sides.

8w+18.4−54w=54w−27.6−54w −46w+18.4=−27.6

Step 3: Subtract 18.4 from both sides.

−46w+18.4−18.4=−27.6−18.4 −46w=−46

Step 4: Divide both sides by -46.

−46w −46 =  −46 −46

w=1

Answer:

w=1