0.009(5-k)+0.04(k-8)=1

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Solution for 0.009(5-k)+0.04(k-8)=1 equation: 


Simplifying
0.009(5 + -1k) + 0.04(k + -8) = 1
(5 * 0.009 + -1k * 0.009) + 0.04(k + -8) = 1
(0.045 + -0.009k) + 0.04(k + -8) = 1

Reorder the terms:
0.045 + -0.009k + 0.04(-8 + k) = 1
0.045 + -0.009k + (-8 * 0.04 + k * 0.04) = 1
0.045 + -0.009k + (-0.32 + 0.04k) = 1

Reorder the terms:
0.045 + -0.32 + -0.009k + 0.04k = 1

Combine like terms: 0.045 + -0.32 = -0.275
-0.275 + -0.009k + 0.04k = 1

Combine like terms: -0.009k + 0.04k = 0.031k
-0.275 + 0.031k = 1

Solving
-0.275 + 0.031k = 1

Solving for variable 'k'.

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

Add '0.275' to each side of the equation.
-0.275 + 0.275 + 0.031k = 1 + 0.275

Combine like terms: -0.275 + 0.275 = 0.000
0.000 + 0.031k = 1 + 0.275
0.031k = 1 + 0.275

Combine like terms: 1 + 0.275 = 1.275
0.031k = 1.275

Divide each side by '0.031'.
k = 41.12903226

Simplifying
k = 41.12903226

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