.005(6-k)+.07(k-9)=1

Solution for .005(6-k)+.07(k-9)=1 equation:

Simplifying
0.005(6 + -1k) + 0.07(k + -9) = 1
(6 * 0.005 + -1k * 0.005) + 0.07(k + -9) = 1
(0.03 + -0.005k) + 0.07(k + -9) = 1

Reorder the terms:
0.03 + -0.005k + 0.07(-9 + k) = 1
0.03 + -0.005k + (-9 * 0.07 + k * 0.07) = 1
0.03 + -0.005k + (-0.63 + 0.07k) = 1

Reorder the terms:
0.03 + -0.63 + -0.005k + 0.07k = 1

Combine like terms: 0.03 + -0.63 = -0.6
-0.6 + -0.005k + 0.07k = 1

Combine like terms: -0.005k + 0.07k = 0.065k
-0.6 + 0.065k = 1

Solving
-0.6 + 0.065k = 1

Solving for variable 'k'.

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.065k = 1 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.065k = 1 + 0.6
0.065k = 1 + 0.6

Combine like terms: 1 + 0.6 = 1.6
0.065k = 1.6

Divide each side by '0.065'.
k = 24.61538462

Simplifying
k = 24.61538462