.004(9-K)+.04(K-9)=1

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Solution for .004(9-K)+.04(K-9)=1 equation: 


Simplifying
0.004(9 + -1K) + 0.04(K + -9) = 1
(9 * 0.004 + -1K * 0.004) + 0.04(K + -9) = 1
(0.036 + -0.004K) + 0.04(K + -9) = 1

Reorder the terms:
0.036 + -0.004K + 0.04(-9 + K) = 1
0.036 + -0.004K + (-9 * 0.04 + K * 0.04) = 1
0.036 + -0.004K + (-0.36 + 0.04K) = 1

Reorder the terms:
0.036 + -0.36 + -0.004K + 0.04K = 1

Combine like terms: 0.036 + -0.36 = -0.324
-0.324 + -0.004K + 0.04K = 1

Combine like terms: -0.004K + 0.04K = 0.036K
-0.324 + 0.036K = 1

Solving
-0.324 + 0.036K = 1

Solving for variable 'K'.

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

Add '0.324' to each side of the equation.
-0.324 + 0.324 + 0.036K = 1 + 0.324

Combine like terms: -0.324 + 0.324 = 0.000
0.000 + 0.036K = 1 + 0.324
0.036K = 1 + 0.324

Combine like terms: 1 + 0.324 = 1.324
0.036K = 1.324

Divide each side by '0.036'.
K = 36.77777778

Simplifying
K = 36.77777778

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