0.005(7-k)+0.08(k-9)=1

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Solution for 0.005(7-k)+0.08(k-9)=1 equation: 


Simplifying
0.005(7 + -1k) + 0.08(k + -9) = 1
(7 * 0.005 + -1k * 0.005) + 0.08(k + -9) = 1
(0.035 + -0.005k) + 0.08(k + -9) = 1

Reorder the terms:
0.035 + -0.005k + 0.08(-9 + k) = 1
0.035 + -0.005k + (-9 * 0.08 + k * 0.08) = 1
0.035 + -0.005k + (-0.72 + 0.08k) = 1

Reorder the terms:
0.035 + -0.72 + -0.005k + 0.08k = 1

Combine like terms: 0.035 + -0.72 = -0.685
-0.685 + -0.005k + 0.08k = 1

Combine like terms: -0.005k + 0.08k = 0.075k
-0.685 + 0.075k = 1

Solving
-0.685 + 0.075k = 1

Solving for variable 'k'.

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

Add '0.685' to each side of the equation.
-0.685 + 0.685 + 0.075k = 1 + 0.685

Combine like terms: -0.685 + 0.685 = 0.000
0.000 + 0.075k = 1 + 0.685
0.075k = 1 + 0.685

Combine like terms: 1 + 0.685 = 1.685
0.075k = 1.685

Divide each side by '0.075'.
k = 22.46666667

Simplifying
k = 22.46666667

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