0.007(8-k)+0.02(k-4)=1

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Solution for 0.007(8-k)+0.02(k-4)=1 equation: 


Simplifying
0.007(8 + -1k) + 0.02(k + -4) = 1
(8 * 0.007 + -1k * 0.007) + 0.02(k + -4) = 1
(0.056 + -0.007k) + 0.02(k + -4) = 1

Reorder the terms:
0.056 + -0.007k + 0.02(-4 + k) = 1
0.056 + -0.007k + (-4 * 0.02 + k * 0.02) = 1
0.056 + -0.007k + (-0.08 + 0.02k) = 1

Reorder the terms:
0.056 + -0.08 + -0.007k + 0.02k = 1

Combine like terms: 0.056 + -0.08 = -0.024
-0.024 + -0.007k + 0.02k = 1

Combine like terms: -0.007k + 0.02k = 0.013k
-0.024 + 0.013k = 1

Solving
-0.024 + 0.013k = 1

Solving for variable 'k'.

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

Add '0.024' to each side of the equation.
-0.024 + 0.024 + 0.013k = 1 + 0.024

Combine like terms: -0.024 + 0.024 = 0.000
0.000 + 0.013k = 1 + 0.024
0.013k = 1 + 0.024

Combine like terms: 1 + 0.024 = 1.024
0.013k = 1.024

Divide each side by '0.013'.
k = 78.76923077

Simplifying
k = 78.76923077

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