0.004(7-k)+0.07(k-1)=1

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Solution for 0.004(7-k)+0.07(k-1)=1 equation: 


Simplifying
0.004(7 + -1k) + 0.07(k + -1) = 1
(7 * 0.004 + -1k * 0.004) + 0.07(k + -1) = 1
(0.028 + -0.004k) + 0.07(k + -1) = 1

Reorder the terms:
0.028 + -0.004k + 0.07(-1 + k) = 1
0.028 + -0.004k + (-1 * 0.07 + k * 0.07) = 1
0.028 + -0.004k + (-0.07 + 0.07k) = 1

Reorder the terms:
0.028 + -0.07 + -0.004k + 0.07k = 1

Combine like terms: 0.028 + -0.07 = -0.042
-0.042 + -0.004k + 0.07k = 1

Combine like terms: -0.004k + 0.07k = 0.066k
-0.042 + 0.066k = 1

Solving
-0.042 + 0.066k = 1

Solving for variable 'k'.

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

Add '0.042' to each side of the equation.
-0.042 + 0.042 + 0.066k = 1 + 0.042

Combine like terms: -0.042 + 0.042 = 0.000
0.000 + 0.066k = 1 + 0.042
0.066k = 1 + 0.042

Combine like terms: 1 + 0.042 = 1.042
0.066k = 1.042

Divide each side by '0.066'.
k = 15.78787879

Simplifying
k = 15.78787879

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