.006(6-k)+.02(k-8)=1

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Solution for .006(6-k)+.02(k-8)=1 equation: 


Simplifying
0.006(6 + -1k) + 0.02(k + -8) = 1
(6 * 0.006 + -1k * 0.006) + 0.02(k + -8) = 1
(0.036 + -0.006k) + 0.02(k + -8) = 1

Reorder the terms:
0.036 + -0.006k + 0.02(-8 + k) = 1
0.036 + -0.006k + (-8 * 0.02 + k * 0.02) = 1
0.036 + -0.006k + (-0.16 + 0.02k) = 1

Reorder the terms:
0.036 + -0.16 + -0.006k + 0.02k = 1

Combine like terms: 0.036 + -0.16 = -0.124
-0.124 + -0.006k + 0.02k = 1

Combine like terms: -0.006k + 0.02k = 0.014k
-0.124 + 0.014k = 1

Solving
-0.124 + 0.014k = 1

Solving for variable 'k'.

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

Add '0.124' to each side of the equation.
-0.124 + 0.124 + 0.014k = 1 + 0.124

Combine like terms: -0.124 + 0.124 = 0.000
0.000 + 0.014k = 1 + 0.124
0.014k = 1 + 0.124

Combine like terms: 1 + 0.124 = 1.124
0.014k = 1.124

Divide each side by '0.014'.
k = 80.28571429

Simplifying
k = 80.28571429

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