.006(6-k)+.05(k-4)=1

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Solution for .006(6-k)+.05(k-4)=1 equation: 


Simplifying
0.006(6 + -1k) + 0.05(k + -4) = 1
(6 * 0.006 + -1k * 0.006) + 0.05(k + -4) = 1
(0.036 + -0.006k) + 0.05(k + -4) = 1

Reorder the terms:
0.036 + -0.006k + 0.05(-4 + k) = 1
0.036 + -0.006k + (-4 * 0.05 + k * 0.05) = 1
0.036 + -0.006k + (-0.2 + 0.05k) = 1

Reorder the terms:
0.036 + -0.2 + -0.006k + 0.05k = 1

Combine like terms: 0.036 + -0.2 = -0.164
-0.164 + -0.006k + 0.05k = 1

Combine like terms: -0.006k + 0.05k = 0.044k
-0.164 + 0.044k = 1

Solving
-0.164 + 0.044k = 1

Solving for variable 'k'.

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

Add '0.164' to each side of the equation.
-0.164 + 0.164 + 0.044k = 1 + 0.164

Combine like terms: -0.164 + 0.164 = 0.000
0.000 + 0.044k = 1 + 0.164
0.044k = 1 + 0.164

Combine like terms: 1 + 0.164 = 1.164
0.044k = 1.164

Divide each side by '0.044'.
k = 26.45454545

Simplifying
k = 26.45454545

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