.005(5-k)+.06(k-7)=1

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Solution for .005(5-k)+.06(k-7)=1 equation: 


Simplifying
0.005(5 + -1k) + 0.06(k + -7) = 1
(5 * 0.005 + -1k * 0.005) + 0.06(k + -7) = 1
(0.025 + -0.005k) + 0.06(k + -7) = 1

Reorder the terms:
0.025 + -0.005k + 0.06(-7 + k) = 1
0.025 + -0.005k + (-7 * 0.06 + k * 0.06) = 1
0.025 + -0.005k + (-0.42 + 0.06k) = 1

Reorder the terms:
0.025 + -0.42 + -0.005k + 0.06k = 1

Combine like terms: 0.025 + -0.42 = -0.395
-0.395 + -0.005k + 0.06k = 1

Combine like terms: -0.005k + 0.06k = 0.055k
-0.395 + 0.055k = 1

Solving
-0.395 + 0.055k = 1

Solving for variable 'k'.

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

Add '0.395' to each side of the equation.
-0.395 + 0.395 + 0.055k = 1 + 0.395

Combine like terms: -0.395 + 0.395 = 0.000
0.000 + 0.055k = 1 + 0.395
0.055k = 1 + 0.395

Combine like terms: 1 + 0.395 = 1.395
0.055k = 1.395

Divide each side by '0.055'.
k = 25.36363636

Simplifying
k = 25.36363636

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