.004(7-k)+.006(k-6)=1

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Solution for .004(7-k)+.006(k-6)=1 equation: 


Simplifying
0.004(7 + -1k) + 0.006(k + -6) = 1
(7 * 0.004 + -1k * 0.004) + 0.006(k + -6) = 1
(0.028 + -0.004k) + 0.006(k + -6) = 1

Reorder the terms:
0.028 + -0.004k + 0.006(-6 + k) = 1
0.028 + -0.004k + (-6 * 0.006 + k * 0.006) = 1
0.028 + -0.004k + (-0.036 + 0.006k) = 1

Reorder the terms:
0.028 + -0.036 + -0.004k + 0.006k = 1

Combine like terms: 0.028 + -0.036 = -0.008
-0.008 + -0.004k + 0.006k = 1

Combine like terms: -0.004k + 0.006k = 0.002k
-0.008 + 0.002k = 1

Solving
-0.008 + 0.002k = 1

Solving for variable 'k'.

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

Add '0.008' to each side of the equation.
-0.008 + 0.008 + 0.002k = 1 + 0.008

Combine like terms: -0.008 + 0.008 = 0.000
0.000 + 0.002k = 1 + 0.008
0.002k = 1 + 0.008

Combine like terms: 1 + 0.008 = 1.008
0.002k = 1.008

Divide each side by '0.002'.
k = 504

Simplifying
k = 504

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