0.002(5-k)+0.07(k-9)=1

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Solution for 0.002(5-k)+0.07(k-9)=1 equation: 


Simplifying
0.002(5 + -1k) + 0.07(k + -9) = 1
(5 * 0.002 + -1k * 0.002) + 0.07(k + -9) = 1
(0.01 + -0.002k) + 0.07(k + -9) = 1

Reorder the terms:
0.01 + -0.002k + 0.07(-9 + k) = 1
0.01 + -0.002k + (-9 * 0.07 + k * 0.07) = 1
0.01 + -0.002k + (-0.63 + 0.07k) = 1

Reorder the terms:
0.01 + -0.63 + -0.002k + 0.07k = 1

Combine like terms: 0.01 + -0.63 = -0.62
-0.62 + -0.002k + 0.07k = 1

Combine like terms: -0.002k + 0.07k = 0.068k
-0.62 + 0.068k = 1

Solving
-0.62 + 0.068k = 1

Solving for variable 'k'.

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

Add '0.62' to each side of the equation.
-0.62 + 0.62 + 0.068k = 1 + 0.62

Combine like terms: -0.62 + 0.62 = 0.00
0.00 + 0.068k = 1 + 0.62
0.068k = 1 + 0.62

Combine like terms: 1 + 0.62 = 1.62
0.068k = 1.62

Divide each side by '0.068'.
k = 23.82352941

Simplifying
k = 23.82352941

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