0.003(5-k)+0.05(k-9)=1

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Solution for 0.003(5-k)+0.05(k-9)=1 equation: 


Simplifying
0.003(5 + -1k) + 0.05(k + -9) = 1
(5 * 0.003 + -1k * 0.003) + 0.05(k + -9) = 1
(0.015 + -0.003k) + 0.05(k + -9) = 1

Reorder the terms:
0.015 + -0.003k + 0.05(-9 + k) = 1
0.015 + -0.003k + (-9 * 0.05 + k * 0.05) = 1
0.015 + -0.003k + (-0.45 + 0.05k) = 1

Reorder the terms:
0.015 + -0.45 + -0.003k + 0.05k = 1

Combine like terms: 0.015 + -0.45 = -0.435
-0.435 + -0.003k + 0.05k = 1

Combine like terms: -0.003k + 0.05k = 0.047k
-0.435 + 0.047k = 1

Solving
-0.435 + 0.047k = 1

Solving for variable 'k'.

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

Add '0.435' to each side of the equation.
-0.435 + 0.435 + 0.047k = 1 + 0.435

Combine like terms: -0.435 + 0.435 = 0.000
0.000 + 0.047k = 1 + 0.435
0.047k = 1 + 0.435

Combine like terms: 1 + 0.435 = 1.435
0.047k = 1.435

Divide each side by '0.047'.
k = 30.53191489

Simplifying
k = 30.53191489

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