0.006(9-k)+0.04(k-7)=1

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Solution for 0.006(9-k)+0.04(k-7)=1 equation: 


Simplifying
0.006(9 + -1k) + 0.04(k + -7) = 1
(9 * 0.006 + -1k * 0.006) + 0.04(k + -7) = 1
(0.054 + -0.006k) + 0.04(k + -7) = 1

Reorder the terms:
0.054 + -0.006k + 0.04(-7 + k) = 1
0.054 + -0.006k + (-7 * 0.04 + k * 0.04) = 1
0.054 + -0.006k + (-0.28 + 0.04k) = 1

Reorder the terms:
0.054 + -0.28 + -0.006k + 0.04k = 1

Combine like terms: 0.054 + -0.28 = -0.226
-0.226 + -0.006k + 0.04k = 1

Combine like terms: -0.006k + 0.04k = 0.034k
-0.226 + 0.034k = 1

Solving
-0.226 + 0.034k = 1

Solving for variable 'k'.

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

Add '0.226' to each side of the equation.
-0.226 + 0.226 + 0.034k = 1 + 0.226

Combine like terms: -0.226 + 0.226 = 0.000
0.000 + 0.034k = 1 + 0.226
0.034k = 1 + 0.226

Combine like terms: 1 + 0.226 = 1.226
0.034k = 1.226

Divide each side by '0.034'.
k = 36.05882353

Simplifying
k = 36.05882353

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