0.004(9-k)+0.04(k-9)=1

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Solution for 0.004(9-k)+0.04(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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