0.002(9-k)+0.07(k-8)=1

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Solution for 0.002(9-k)+0.07(k-8)=1 equation: 


Simplifying
0.002(9 + -1k) + 0.07(k + -8) = 1
(9 * 0.002 + -1k * 0.002) + 0.07(k + -8) = 1
(0.018 + -0.002k) + 0.07(k + -8) = 1

Reorder the terms:
0.018 + -0.002k + 0.07(-8 + k) = 1
0.018 + -0.002k + (-8 * 0.07 + k * 0.07) = 1
0.018 + -0.002k + (-0.56 + 0.07k) = 1

Reorder the terms:
0.018 + -0.56 + -0.002k + 0.07k = 1

Combine like terms: 0.018 + -0.56 = -0.542
-0.542 + -0.002k + 0.07k = 1

Combine like terms: -0.002k + 0.07k = 0.068k
-0.542 + 0.068k = 1

Solving
-0.542 + 0.068k = 1

Solving for variable 'k'.

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

Add '0.542' to each side of the equation.
-0.542 + 0.542 + 0.068k = 1 + 0.542

Combine like terms: -0.542 + 0.542 = 0.000
0.000 + 0.068k = 1 + 0.542
0.068k = 1 + 0.542

Combine like terms: 1 + 0.542 = 1.542
0.068k = 1.542

Divide each side by '0.068'.
k = 22.67647059

Simplifying
k = 22.67647059

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