-5.2+2.8k=-7k-3(-3k+2)

Solution for -5.2+2.8k=-7k-3(-3k+2) equation:

Simplifying
-5.2 + 2.8k = -7k + -3(-3k + 2)

Reorder the terms:
-5.2 + 2.8k = -7k + -3(2 + -3k)
-5.2 + 2.8k = -7k + (2 * -3 + -3k * -3)
-5.2 + 2.8k = -7k + (-6 + 9k)

Reorder the terms:
-5.2 + 2.8k = -6 + -7k + 9k

Combine like terms: -7k + 9k = 2k
-5.2 + 2.8k = -6 + 2k

Solving
-5.2 + 2.8k = -6 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-5.2 + 2.8k + -2k = -6 + 2k + -2k

Combine like terms: 2.8k + -2k = 0.8k
-5.2 + 0.8k = -6 + 2k + -2k

Combine like terms: 2k + -2k = 0
-5.2 + 0.8k = -6 + 0
-5.2 + 0.8k = -6

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 0.8k = -6 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 0.8k = -6 + 5.2
0.8k = -6 + 5.2

Combine like terms: -6 + 5.2 = -0.8
0.8k = -0.8

Divide each side by '0.8'.
k = -1

Simplifying
k = -1