.008(2-k)+.006(k-6)=1

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Solution for .008(2-k)+.006(k-6)=1 equation: 


Simplifying
0.008(2 + -1k) + 0.006(k + -6) = 1
(2 * 0.008 + -1k * 0.008) + 0.006(k + -6) = 1
(0.016 + -0.008k) + 0.006(k + -6) = 1

Reorder the terms:
0.016 + -0.008k + 0.006(-6 + k) = 1
0.016 + -0.008k + (-6 * 0.006 + k * 0.006) = 1
0.016 + -0.008k + (-0.036 + 0.006k) = 1

Reorder the terms:
0.016 + -0.036 + -0.008k + 0.006k = 1

Combine like terms: 0.016 + -0.036 = -0.02
-0.02 + -0.008k + 0.006k = 1

Combine like terms: -0.008k + 0.006k = -0.002k
-0.02 + -0.002k = 1

Solving
-0.02 + -0.002k = 1

Solving for variable 'k'.

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

Add '0.02' to each side of the equation.
-0.02 + 0.02 + -0.002k = 1 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + -0.002k = 1 + 0.02
-0.002k = 1 + 0.02

Combine like terms: 1 + 0.02 = 1.02
-0.002k = 1.02

Divide each side by '-0.002'.
k = -510

Simplifying
k = -510

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