Respuesta :

hnori22003

[tex]2(4w + 7) = 62[/tex]

Divide both sides by 2

[tex] \frac{2(4w + 7)}{2} = \frac{62}{2} \\ [/tex]

[tex]4w + 7 = 31[/tex]

Subtract both sides 7

[tex]4w + 7 - 7 = 31 - 7[/tex]

[tex]4w = 24[/tex]

Divide both sides by 4

[tex] \frac{4w}{4} = \frac{24}{4} \\ [/tex]

[tex]w = 6[/tex]

shanecho

Answer:

w=6

Step-by-step explanation:

Step 1 : Simplifying

2(4w + 7) = 62

Step 2 : Recorder the terms :

2(7 + 4w) = 62

(7 * 2 + 4w * 2) = 62

(14 + 8w) = 62

Solving-

14 + 8w = 62

Solving for the variable 'w'

Move all terms containing w to the left side, all other terms to the right.

Add '- 14' to each side of the equation.

14 + - 14 + 8w = 62 + - 14

Combine like terms: 14 + - 14 = 0

0 + 8w = 62 + - 14

Combine like terms: 62 + - 14 = 48

8w = 48

Divide each side by '8'

W = 6

Simplifying

W = 6

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