0.007(8-k)+0.06(k-1)=1

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Solution for 0.007(8-k)+0.06(k-1)=1 equation: 


Simplifying
0.007(8 + -1k) + 0.06(k + -1) = 1
(8 * 0.007 + -1k * 0.007) + 0.06(k + -1) = 1
(0.056 + -0.007k) + 0.06(k + -1) = 1

Reorder the terms:
0.056 + -0.007k + 0.06(-1 + k) = 1
0.056 + -0.007k + (-1 * 0.06 + k * 0.06) = 1
0.056 + -0.007k + (-0.06 + 0.06k) = 1

Reorder the terms:
0.056 + -0.06 + -0.007k + 0.06k = 1

Combine like terms: 0.056 + -0.06 = -0.004
-0.004 + -0.007k + 0.06k = 1

Combine like terms: -0.007k + 0.06k = 0.053k
-0.004 + 0.053k = 1

Solving
-0.004 + 0.053k = 1

Solving for variable 'k'.

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

Add '0.004' to each side of the equation.
-0.004 + 0.004 + 0.053k = 1 + 0.004

Combine like terms: -0.004 + 0.004 = 0.000
0.000 + 0.053k = 1 + 0.004
0.053k = 1 + 0.004

Combine like terms: 1 + 0.004 = 1.004
0.053k = 1.004

Divide each side by '0.053'.
k = 18.94339623

Simplifying
k = 18.94339623

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