0.007(2-k)+0.06(k-5)=1

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Solution for 0.007(2-k)+0.06(k-5)=1 equation: 


Simplifying
0.007(2 + -1k) + 0.06(k + -5) = 1
(2 * 0.007 + -1k * 0.007) + 0.06(k + -5) = 1
(0.014 + -0.007k) + 0.06(k + -5) = 1

Reorder the terms:
0.014 + -0.007k + 0.06(-5 + k) = 1
0.014 + -0.007k + (-5 * 0.06 + k * 0.06) = 1
0.014 + -0.007k + (-0.3 + 0.06k) = 1

Reorder the terms:
0.014 + -0.3 + -0.007k + 0.06k = 1

Combine like terms: 0.014 + -0.3 = -0.286
-0.286 + -0.007k + 0.06k = 1

Combine like terms: -0.007k + 0.06k = 0.053k
-0.286 + 0.053k = 1

Solving
-0.286 + 0.053k = 1

Solving for variable 'k'.

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

Add '0.286' to each side of the equation.
-0.286 + 0.286 + 0.053k = 1 + 0.286

Combine like terms: -0.286 + 0.286 = 0.000
0.000 + 0.053k = 1 + 0.286
0.053k = 1 + 0.286

Combine like terms: 1 + 0.286 = 1.286
0.053k = 1.286

Divide each side by '0.053'.
k = 24.26415094

Simplifying
k = 24.26415094

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