0.004(5-k)+0.02(k-2)=1

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Solution for 0.004(5-k)+0.02(k-2)=1 equation: 


Simplifying
0.004(5 + -1k) + 0.02(k + -2) = 1
(5 * 0.004 + -1k * 0.004) + 0.02(k + -2) = 1
(0.02 + -0.004k) + 0.02(k + -2) = 1

Reorder the terms:
0.02 + -0.004k + 0.02(-2 + k) = 1
0.02 + -0.004k + (-2 * 0.02 + k * 0.02) = 1
0.02 + -0.004k + (-0.04 + 0.02k) = 1

Reorder the terms:
0.02 + -0.04 + -0.004k + 0.02k = 1

Combine like terms: 0.02 + -0.04 = -0.02
-0.02 + -0.004k + 0.02k = 1

Combine like terms: -0.004k + 0.02k = 0.016k
-0.02 + 0.016k = 1

Solving
-0.02 + 0.016k = 1

Solving for variable 'k'.

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

Add '0.02' to each side of the equation.
-0.02 + 0.02 + 0.016k = 1 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + 0.016k = 1 + 0.02
0.016k = 1 + 0.02

Combine like terms: 1 + 0.02 = 1.02
0.016k = 1.02

Divide each side by '0.016'.
k = 63.75

Simplifying
k = 63.75

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