0.007(5-k)+0.05(k-4)=1

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Solution for 0.007(5-k)+0.05(k-4)=1 equation: 


Simplifying
0.007(5 + -1k) + 0.05(k + -4) = 1
(5 * 0.007 + -1k * 0.007) + 0.05(k + -4) = 1
(0.035 + -0.007k) + 0.05(k + -4) = 1

Reorder the terms:
0.035 + -0.007k + 0.05(-4 + k) = 1
0.035 + -0.007k + (-4 * 0.05 + k * 0.05) = 1
0.035 + -0.007k + (-0.2 + 0.05k) = 1

Reorder the terms:
0.035 + -0.2 + -0.007k + 0.05k = 1

Combine like terms: 0.035 + -0.2 = -0.165
-0.165 + -0.007k + 0.05k = 1

Combine like terms: -0.007k + 0.05k = 0.043k
-0.165 + 0.043k = 1

Solving
-0.165 + 0.043k = 1

Solving for variable 'k'.

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

Add '0.165' to each side of the equation.
-0.165 + 0.165 + 0.043k = 1 + 0.165

Combine like terms: -0.165 + 0.165 = 0.000
0.000 + 0.043k = 1 + 0.165
0.043k = 1 + 0.165

Combine like terms: 1 + 0.165 = 1.165
0.043k = 1.165

Divide each side by '0.043'.
k = 27.09302326

Simplifying
k = 27.09302326

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