0.008(3-k)+0.05(k-6)=1

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Solution for 0.008(3-k)+0.05(k-6)=1 equation: 


Simplifying
0.008(3 + -1k) + 0.05(k + -6) = 1
(3 * 0.008 + -1k * 0.008) + 0.05(k + -6) = 1
(0.024 + -0.008k) + 0.05(k + -6) = 1

Reorder the terms:
0.024 + -0.008k + 0.05(-6 + k) = 1
0.024 + -0.008k + (-6 * 0.05 + k * 0.05) = 1
0.024 + -0.008k + (-0.3 + 0.05k) = 1

Reorder the terms:
0.024 + -0.3 + -0.008k + 0.05k = 1

Combine like terms: 0.024 + -0.3 = -0.276
-0.276 + -0.008k + 0.05k = 1

Combine like terms: -0.008k + 0.05k = 0.042k
-0.276 + 0.042k = 1

Solving
-0.276 + 0.042k = 1

Solving for variable 'k'.

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

Add '0.276' to each side of the equation.
-0.276 + 0.276 + 0.042k = 1 + 0.276

Combine like terms: -0.276 + 0.276 = 0.000
0.000 + 0.042k = 1 + 0.276
0.042k = 1 + 0.276

Combine like terms: 1 + 0.276 = 1.276
0.042k = 1.276

Divide each side by '0.042'.
k = 30.38095238

Simplifying
k = 30.38095238

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