0.005(7-k)+0.05(k-1)=1

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Solution for 0.005(7-k)+0.05(k-1)=1 equation: 


Simplifying
0.005(7 + -1k) + 0.05(k + -1) = 1
(7 * 0.005 + -1k * 0.005) + 0.05(k + -1) = 1
(0.035 + -0.005k) + 0.05(k + -1) = 1

Reorder the terms:
0.035 + -0.005k + 0.05(-1 + k) = 1
0.035 + -0.005k + (-1 * 0.05 + k * 0.05) = 1
0.035 + -0.005k + (-0.05 + 0.05k) = 1

Reorder the terms:
0.035 + -0.05 + -0.005k + 0.05k = 1

Combine like terms: 0.035 + -0.05 = -0.015
-0.015 + -0.005k + 0.05k = 1

Combine like terms: -0.005k + 0.05k = 0.045k
-0.015 + 0.045k = 1

Solving
-0.015 + 0.045k = 1

Solving for variable 'k'.

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

Add '0.015' to each side of the equation.
-0.015 + 0.015 + 0.045k = 1 + 0.015

Combine like terms: -0.015 + 0.015 = 0.000
0.000 + 0.045k = 1 + 0.015
0.045k = 1 + 0.015

Combine like terms: 1 + 0.015 = 1.015
0.045k = 1.015

Divide each side by '0.045'.
k = 22.55555556

Simplifying
k = 22.55555556

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