0.008(8-k)+0.04(k-4)=1

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Solution for 0.008(8-k)+0.04(k-4)=1 equation: 


Simplifying
0.008(8 + -1k) + 0.04(k + -4) = 1
(8 * 0.008 + -1k * 0.008) + 0.04(k + -4) = 1
(0.064 + -0.008k) + 0.04(k + -4) = 1

Reorder the terms:
0.064 + -0.008k + 0.04(-4 + k) = 1
0.064 + -0.008k + (-4 * 0.04 + k * 0.04) = 1
0.064 + -0.008k + (-0.16 + 0.04k) = 1

Reorder the terms:
0.064 + -0.16 + -0.008k + 0.04k = 1

Combine like terms: 0.064 + -0.16 = -0.096
-0.096 + -0.008k + 0.04k = 1

Combine like terms: -0.008k + 0.04k = 0.032k
-0.096 + 0.032k = 1

Solving
-0.096 + 0.032k = 1

Solving for variable 'k'.

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

Add '0.096' to each side of the equation.
-0.096 + 0.096 + 0.032k = 1 + 0.096

Combine like terms: -0.096 + 0.096 = 0.000
0.000 + 0.032k = 1 + 0.096
0.032k = 1 + 0.096

Combine like terms: 1 + 0.096 = 1.096
0.032k = 1.096

Divide each side by '0.032'.
k = 34.25

Simplifying
k = 34.25

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