0.008(8-k)+0.05(k-9)=1

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Solution for 0.008(8-k)+0.05(k-9)=1 equation: 


Simplifying
0.008(8 + -1k) + 0.05(k + -9) = 1
(8 * 0.008 + -1k * 0.008) + 0.05(k + -9) = 1
(0.064 + -0.008k) + 0.05(k + -9) = 1

Reorder the terms:
0.064 + -0.008k + 0.05(-9 + k) = 1
0.064 + -0.008k + (-9 * 0.05 + k * 0.05) = 1
0.064 + -0.008k + (-0.45 + 0.05k) = 1

Reorder the terms:
0.064 + -0.45 + -0.008k + 0.05k = 1

Combine like terms: 0.064 + -0.45 = -0.386
-0.386 + -0.008k + 0.05k = 1

Combine like terms: -0.008k + 0.05k = 0.042k
-0.386 + 0.042k = 1

Solving
-0.386 + 0.042k = 1

Solving for variable 'k'.

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

Add '0.386' to each side of the equation.
-0.386 + 0.386 + 0.042k = 1 + 0.386

Combine like terms: -0.386 + 0.386 = 0.000
0.000 + 0.042k = 1 + 0.386
0.042k = 1 + 0.386

Combine like terms: 1 + 0.386 = 1.386
0.042k = 1.386

Divide each side by '0.042'.
k = 33

Simplifying
k = 33

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