Respuesta :

answer: 3.8857

explanation:

Simplifying

-5k + 2.9 = -12k + 30.1

Reorder the terms:

2.9 + -5k = -12k + 30.1

Reorder the terms:

2.9 + -5k = 30.1 + -12k

Solving

2.9 + -5k = 30.1 + -12k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '12k' to each side of the equation.

2.9 + -5k + 12k = 30.1 + -12k + 12k

Combine like terms: -5k + 12k = 7k

2.9 + 7k = 30.1 + -12k + 12k

Combine like terms: -12k + 12k = 0

2.9 + 7k = 30.1 + 0

2.9 + 7k = 30.1

Add '-2.9' to each side of the equation.

2.9 + -2.9 + 7k = 30.1 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0

0.0 + 7k = 30.1 + -2.9

7k = 30.1 + -2.9

Combine like terms: 30.1 + -2.9 = 27.2

7k = 27.2

Divide each side by '7'.

k = 3.885714286

Simplifying

k = 3.885714286

hope this helped;))))