0.005(5-k)+0.03(k-8)=1

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Solution for 0.005(5-k)+0.03(k-8)=1 equation: 


Simplifying
0.005(5 + -1k) + 0.03(k + -8) = 1
(5 * 0.005 + -1k * 0.005) + 0.03(k + -8) = 1
(0.025 + -0.005k) + 0.03(k + -8) = 1

Reorder the terms:
0.025 + -0.005k + 0.03(-8 + k) = 1
0.025 + -0.005k + (-8 * 0.03 + k * 0.03) = 1
0.025 + -0.005k + (-0.24 + 0.03k) = 1

Reorder the terms:
0.025 + -0.24 + -0.005k + 0.03k = 1

Combine like terms: 0.025 + -0.24 = -0.215
-0.215 + -0.005k + 0.03k = 1

Combine like terms: -0.005k + 0.03k = 0.025k
-0.215 + 0.025k = 1

Solving
-0.215 + 0.025k = 1

Solving for variable 'k'.

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

Add '0.215' to each side of the equation.
-0.215 + 0.215 + 0.025k = 1 + 0.215

Combine like terms: -0.215 + 0.215 = 0.000
0.000 + 0.025k = 1 + 0.215
0.025k = 1 + 0.215

Combine like terms: 1 + 0.215 = 1.215
0.025k = 1.215

Divide each side by '0.025'.
k = 48.6

Simplifying
k = 48.6

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