0.002(7-K)+0.09(K-9)=1

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Solution for 0.002(7-K)+0.09(K-9)=1 equation: 


Simplifying
0.002(7 + -1K) + 0.09(K + -9) = 1
(7 * 0.002 + -1K * 0.002) + 0.09(K + -9) = 1
(0.014 + -0.002K) + 0.09(K + -9) = 1

Reorder the terms:
0.014 + -0.002K + 0.09(-9 + K) = 1
0.014 + -0.002K + (-9 * 0.09 + K * 0.09) = 1
0.014 + -0.002K + (-0.81 + 0.09K) = 1

Reorder the terms:
0.014 + -0.81 + -0.002K + 0.09K = 1

Combine like terms: 0.014 + -0.81 = -0.796
-0.796 + -0.002K + 0.09K = 1

Combine like terms: -0.002K + 0.09K = 0.088K
-0.796 + 0.088K = 1

Solving
-0.796 + 0.088K = 1

Solving for variable 'K'.

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

Add '0.796' to each side of the equation.
-0.796 + 0.796 + 0.088K = 1 + 0.796

Combine like terms: -0.796 + 0.796 = 0.000
0.000 + 0.088K = 1 + 0.796
0.088K = 1 + 0.796

Combine like terms: 1 + 0.796 = 1.796
0.088K = 1.796

Divide each side by '0.088'.
K = 20.40909091

Simplifying
K = 20.40909091

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