.005(2-k)+.06(k-4)=1

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Solution for .005(2-k)+.06(k-4)=1 equation:


Simplifying
0.005(2 + -1k) + 0.06(k + -4) = 1
(2 * 0.005 + -1k * 0.005) + 0.06(k + -4) = 1
(0.01 + -0.005k) + 0.06(k + -4) = 1

Reorder the terms:
0.01 + -0.005k + 0.06(-4 + k) = 1
0.01 + -0.005k + (-4 * 0.06 + k * 0.06) = 1
0.01 + -0.005k + (-0.24 + 0.06k) = 1

Reorder the terms:
0.01 + -0.24 + -0.005k + 0.06k = 1

Combine like terms: 0.01 + -0.24 = -0.23
-0.23 + -0.005k + 0.06k = 1

Combine like terms: -0.005k + 0.06k = 0.055k
-0.23 + 0.055k = 1

Solving
-0.23 + 0.055k = 1

Solving for variable 'k'.

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

Add '0.23' to each side of the equation.
-0.23 + 0.23 + 0.055k = 1 + 0.23

Combine like terms: -0.23 + 0.23 = 0.00
0.00 + 0.055k = 1 + 0.23
0.055k = 1 + 0.23

Combine like terms: 1 + 0.23 = 1.23
0.055k = 1.23

Divide each side by '0.055'.
k = 22.36363636

Simplifying
k = 22.36363636

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