0.005(5-k)+0.08(k-8)=1

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Solution for 0.005(5-k)+0.08(k-8)=1 equation:


Simplifying
0.005(5 + -1k) + 0.08(k + -8) = 1
(5 * 0.005 + -1k * 0.005) + 0.08(k + -8) = 1
(0.025 + -0.005k) + 0.08(k + -8) = 1

Reorder the terms:
0.025 + -0.005k + 0.08(-8 + k) = 1
0.025 + -0.005k + (-8 * 0.08 + k * 0.08) = 1
0.025 + -0.005k + (-0.64 + 0.08k) = 1

Reorder the terms:
0.025 + -0.64 + -0.005k + 0.08k = 1

Combine like terms: 0.025 + -0.64 = -0.615
-0.615 + -0.005k + 0.08k = 1

Combine like terms: -0.005k + 0.08k = 0.075k
-0.615 + 0.075k = 1

Solving
-0.615 + 0.075k = 1

Solving for variable 'k'.

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

Add '0.615' to each side of the equation.
-0.615 + 0.615 + 0.075k = 1 + 0.615

Combine like terms: -0.615 + 0.615 = 0.000
0.000 + 0.075k = 1 + 0.615
0.075k = 1 + 0.615

Combine like terms: 1 + 0.615 = 1.615
0.075k = 1.615

Divide each side by '0.075'.
k = 21.53333333

Simplifying
k = 21.53333333

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