0.007(8-k)+0.09(k-4)=1

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Solution for 0.007(8-k)+0.09(k-4)=1 equation: 


Simplifying
0.007(8 + -1k) + 0.09(k + -4) = 1
(8 * 0.007 + -1k * 0.007) + 0.09(k + -4) = 1
(0.056 + -0.007k) + 0.09(k + -4) = 1

Reorder the terms:
0.056 + -0.007k + 0.09(-4 + k) = 1
0.056 + -0.007k + (-4 * 0.09 + k * 0.09) = 1
0.056 + -0.007k + (-0.36 + 0.09k) = 1

Reorder the terms:
0.056 + -0.36 + -0.007k + 0.09k = 1

Combine like terms: 0.056 + -0.36 = -0.304
-0.304 + -0.007k + 0.09k = 1

Combine like terms: -0.007k + 0.09k = 0.083k
-0.304 + 0.083k = 1

Solving
-0.304 + 0.083k = 1

Solving for variable 'k'.

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

Add '0.304' to each side of the equation.
-0.304 + 0.304 + 0.083k = 1 + 0.304

Combine like terms: -0.304 + 0.304 = 0.000
0.000 + 0.083k = 1 + 0.304
0.083k = 1 + 0.304

Combine like terms: 1 + 0.304 = 1.304
0.083k = 1.304

Divide each side by '0.083'.
k = 15.71084337

Simplifying
k = 15.71084337

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