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

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

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