0.005(3-k)+0.03(k-9)=1

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Solution for 0.005(3-k)+0.03(k-9)=1 equation: 


Simplifying
0.005(3 + -1k) + 0.03(k + -9) = 1
(3 * 0.005 + -1k * 0.005) + 0.03(k + -9) = 1
(0.015 + -0.005k) + 0.03(k + -9) = 1

Reorder the terms:
0.015 + -0.005k + 0.03(-9 + k) = 1
0.015 + -0.005k + (-9 * 0.03 + k * 0.03) = 1
0.015 + -0.005k + (-0.27 + 0.03k) = 1

Reorder the terms:
0.015 + -0.27 + -0.005k + 0.03k = 1

Combine like terms: 0.015 + -0.27 = -0.255
-0.255 + -0.005k + 0.03k = 1

Combine like terms: -0.005k + 0.03k = 0.025k
-0.255 + 0.025k = 1

Solving
-0.255 + 0.025k = 1

Solving for variable 'k'.

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

Add '0.255' to each side of the equation.
-0.255 + 0.255 + 0.025k = 1 + 0.255

Combine like terms: -0.255 + 0.255 = 0.000
0.000 + 0.025k = 1 + 0.255
0.025k = 1 + 0.255

Combine like terms: 1 + 0.255 = 1.255
0.025k = 1.255

Divide each side by '0.025'.
k = 50.2

Simplifying
k = 50.2

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