0.004(7-k)+0.08(k-1)=1

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Solution for 0.004(7-k)+0.08(k-1)=1 equation: 


Simplifying
0.004(7 + -1k) + 0.08(k + -1) = 1
(7 * 0.004 + -1k * 0.004) + 0.08(k + -1) = 1
(0.028 + -0.004k) + 0.08(k + -1) = 1

Reorder the terms:
0.028 + -0.004k + 0.08(-1 + k) = 1
0.028 + -0.004k + (-1 * 0.08 + k * 0.08) = 1
0.028 + -0.004k + (-0.08 + 0.08k) = 1

Reorder the terms:
0.028 + -0.08 + -0.004k + 0.08k = 1

Combine like terms: 0.028 + -0.08 = -0.052
-0.052 + -0.004k + 0.08k = 1

Combine like terms: -0.004k + 0.08k = 0.076k
-0.052 + 0.076k = 1

Solving
-0.052 + 0.076k = 1

Solving for variable 'k'.

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

Add '0.052' to each side of the equation.
-0.052 + 0.052 + 0.076k = 1 + 0.052

Combine like terms: -0.052 + 0.052 = 0.000
0.000 + 0.076k = 1 + 0.052
0.076k = 1 + 0.052

Combine like terms: 1 + 0.052 = 1.052
0.076k = 1.052

Divide each side by '0.076'.
k = 13.84210526

Simplifying
k = 13.84210526

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