.005(5-k)+.05(k-9)=1

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Solution for .005(5-k)+.05(k-9)=1 equation: 


Simplifying
0.005(5 + -1k) + 0.05(k + -9) = 1
(5 * 0.005 + -1k * 0.005) + 0.05(k + -9) = 1
(0.025 + -0.005k) + 0.05(k + -9) = 1

Reorder the terms:
0.025 + -0.005k + 0.05(-9 + k) = 1
0.025 + -0.005k + (-9 * 0.05 + k * 0.05) = 1
0.025 + -0.005k + (-0.45 + 0.05k) = 1

Reorder the terms:
0.025 + -0.45 + -0.005k + 0.05k = 1

Combine like terms: 0.025 + -0.45 = -0.425
-0.425 + -0.005k + 0.05k = 1

Combine like terms: -0.005k + 0.05k = 0.045k
-0.425 + 0.045k = 1

Solving
-0.425 + 0.045k = 1

Solving for variable 'k'.

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

Add '0.425' to each side of the equation.
-0.425 + 0.425 + 0.045k = 1 + 0.425

Combine like terms: -0.425 + 0.425 = 0.000
0.000 + 0.045k = 1 + 0.425
0.045k = 1 + 0.425

Combine like terms: 1 + 0.425 = 1.425
0.045k = 1.425

Divide each side by '0.045'.
k = 31.66666667

Simplifying
k = 31.66666667

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