0.008(2-k)+0.02(k-8)=1

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Solution for 0.008(2-k)+0.02(k-8)=1 equation: 


Simplifying
0.008(2 + -1k) + 0.02(k + -8) = 1
(2 * 0.008 + -1k * 0.008) + 0.02(k + -8) = 1
(0.016 + -0.008k) + 0.02(k + -8) = 1

Reorder the terms:
0.016 + -0.008k + 0.02(-8 + k) = 1
0.016 + -0.008k + (-8 * 0.02 + k * 0.02) = 1
0.016 + -0.008k + (-0.16 + 0.02k) = 1

Reorder the terms:
0.016 + -0.16 + -0.008k + 0.02k = 1

Combine like terms: 0.016 + -0.16 = -0.144
-0.144 + -0.008k + 0.02k = 1

Combine like terms: -0.008k + 0.02k = 0.012k
-0.144 + 0.012k = 1

Solving
-0.144 + 0.012k = 1

Solving for variable 'k'.

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

Add '0.144' to each side of the equation.
-0.144 + 0.144 + 0.012k = 1 + 0.144

Combine like terms: -0.144 + 0.144 = 0.000
0.000 + 0.012k = 1 + 0.144
0.012k = 1 + 0.144

Combine like terms: 1 + 0.144 = 1.144
0.012k = 1.144

Divide each side by '0.012'.
k = 95.33333333

Simplifying
k = 95.33333333

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