6(k-2.5)=-0.2(k-7.9)

Solution for 6(k-2.5)=-0.2(k-7.9) equation:

Simplifying
6(k + -2.5) = -0.2(k + -7.9)

Reorder the terms:
6(-2.5 + k) = -0.2(k + -7.9)
(-2.5 * 6 + k * 6) = -0.2(k + -7.9)
(-15 + 6k) = -0.2(k + -7.9)

Reorder the terms:
-15 + 6k = -0.2(-7.9 + k)
-15 + 6k = (-7.9 * -0.2 + k * -0.2)
-15 + 6k = (1.58 + -0.2k)

Solving
-15 + 6k = 1.58 + -0.2k

Solving for variable 'k'.

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

Add '0.2k' to each side of the equation.
-15 + 6k + 0.2k = 1.58 + -0.2k + 0.2k

Combine like terms: 6k + 0.2k = 6.2k
-15 + 6.2k = 1.58 + -0.2k + 0.2k

Combine like terms: -0.2k + 0.2k = 0.0
-15 + 6.2k = 1.58 + 0.0
-15 + 6.2k = 1.58

Add '15' to each side of the equation.
-15 + 15 + 6.2k = 1.58 + 15

Combine like terms: -15 + 15 = 0
0 + 6.2k = 1.58 + 15
6.2k = 1.58 + 15

Combine like terms: 1.58 + 15 = 16.58
6.2k = 16.58

Divide each side by '6.2'.
k = 2.674193548

Simplifying
k = 2.674193548