0.008(4-k)+0.05(k-9)=1

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Solution for 0.008(4-k)+0.05(k-9)=1 equation: 


Simplifying
0.008(4 + -1k) + 0.05(k + -9) = 1
(4 * 0.008 + -1k * 0.008) + 0.05(k + -9) = 1
(0.032 + -0.008k) + 0.05(k + -9) = 1

Reorder the terms:
0.032 + -0.008k + 0.05(-9 + k) = 1
0.032 + -0.008k + (-9 * 0.05 + k * 0.05) = 1
0.032 + -0.008k + (-0.45 + 0.05k) = 1

Reorder the terms:
0.032 + -0.45 + -0.008k + 0.05k = 1

Combine like terms: 0.032 + -0.45 = -0.418
-0.418 + -0.008k + 0.05k = 1

Combine like terms: -0.008k + 0.05k = 0.042k
-0.418 + 0.042k = 1

Solving
-0.418 + 0.042k = 1

Solving for variable 'k'.

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

Add '0.418' to each side of the equation.
-0.418 + 0.418 + 0.042k = 1 + 0.418

Combine like terms: -0.418 + 0.418 = 0.000
0.000 + 0.042k = 1 + 0.418
0.042k = 1 + 0.418

Combine like terms: 1 + 0.418 = 1.418
0.042k = 1.418

Divide each side by '0.042'.
k = 33.76190476

Simplifying
k = 33.76190476

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