0.06k-(k+.50)=.10(k+2)

Solution for 0.06k-(k+.50)=.10(k+2) equation:

Simplifying
0.06k + -1(k + 0.50) = 0.10(k + 2)

Reorder the terms:
0.06k + -1(0.50 + k) = 0.10(k + 2)
0.06k + (0.50 * -1 + k * -1) = 0.10(k + 2)
0.06k + (-0.5 + -1k) = 0.10(k + 2)

Reorder the terms:
-0.5 + 0.06k + -1k = 0.10(k + 2)

Combine like terms: 0.06k + -1k = -0.94k
-0.5 + -0.94k = 0.10(k + 2)

Reorder the terms:
-0.5 + -0.94k = 0.10(2 + k)
-0.5 + -0.94k = (2 * 0.10 + k * 0.10)
-0.5 + -0.94k = (0.2 + 0.10k)

Solving
-0.5 + -0.94k = 0.2 + 0.10k

Solving for variable 'k'.

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

Add '-0.10k' to each side of the equation.
-0.5 + -0.94k + -0.10k = 0.2 + 0.10k + -0.10k

Combine like terms: -0.94k + -0.10k = -1.04k
-0.5 + -1.04k = 0.2 + 0.10k + -0.10k

Combine like terms: 0.10k + -0.10k = 0.00
-0.5 + -1.04k = 0.2 + 0.00
-0.5 + -1.04k = 0.2

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -1.04k = 0.2 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -1.04k = 0.2 + 0.5
-1.04k = 0.2 + 0.5

Combine like terms: 0.2 + 0.5 = 0.7
-1.04k = 0.7

Divide each side by '-1.04'.
k = -0.6730769231

Simplifying
k = -0.6730769231