0.005(4-k)+0.07(k-1)=1

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Solution for 0.005(4-k)+0.07(k-1)=1 equation: 


Simplifying
0.005(4 + -1k) + 0.07(k + -1) = 1
(4 * 0.005 + -1k * 0.005) + 0.07(k + -1) = 1
(0.02 + -0.005k) + 0.07(k + -1) = 1

Reorder the terms:
0.02 + -0.005k + 0.07(-1 + k) = 1
0.02 + -0.005k + (-1 * 0.07 + k * 0.07) = 1
0.02 + -0.005k + (-0.07 + 0.07k) = 1

Reorder the terms:
0.02 + -0.07 + -0.005k + 0.07k = 1

Combine like terms: 0.02 + -0.07 = -0.05
-0.05 + -0.005k + 0.07k = 1

Combine like terms: -0.005k + 0.07k = 0.065k
-0.05 + 0.065k = 1

Solving
-0.05 + 0.065k = 1

Solving for variable 'k'.

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

Add '0.05' to each side of the equation.
-0.05 + 0.05 + 0.065k = 1 + 0.05

Combine like terms: -0.05 + 0.05 = 0.00
0.00 + 0.065k = 1 + 0.05
0.065k = 1 + 0.05

Combine like terms: 1 + 0.05 = 1.05
0.065k = 1.05

Divide each side by '0.065'.
k = 16.15384615

Simplifying
k = 16.15384615

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