0.005(1-k)+0.03(k-7)=1

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Solution for 0.005(1-k)+0.03(k-7)=1 equation: 


Simplifying
0.005(1 + -1k) + 0.03(k + -7) = 1
(1 * 0.005 + -1k * 0.005) + 0.03(k + -7) = 1
(0.005 + -0.005k) + 0.03(k + -7) = 1

Reorder the terms:
0.005 + -0.005k + 0.03(-7 + k) = 1
0.005 + -0.005k + (-7 * 0.03 + k * 0.03) = 1
0.005 + -0.005k + (-0.21 + 0.03k) = 1

Reorder the terms:
0.005 + -0.21 + -0.005k + 0.03k = 1

Combine like terms: 0.005 + -0.21 = -0.205
-0.205 + -0.005k + 0.03k = 1

Combine like terms: -0.005k + 0.03k = 0.025k
-0.205 + 0.025k = 1

Solving
-0.205 + 0.025k = 1

Solving for variable 'k'.

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

Add '0.205' to each side of the equation.
-0.205 + 0.205 + 0.025k = 1 + 0.205

Combine like terms: -0.205 + 0.205 = 0.000
0.000 + 0.025k = 1 + 0.205
0.025k = 1 + 0.205

Combine like terms: 1 + 0.205 = 1.205
0.025k = 1.205

Divide each side by '0.025'.
k = 48.2

Simplifying
k = 48.2

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