0.005(8-k)+0.03(k-9)=1

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Solution for 0.005(8-k)+0.03(k-9)=1 equation:


Simplifying
0.005(8 + -1k) + 0.03(k + -9) = 1
(8 * 0.005 + -1k * 0.005) + 0.03(k + -9) = 1
(0.04 + -0.005k) + 0.03(k + -9) = 1

Reorder the terms:
0.04 + -0.005k + 0.03(-9 + k) = 1
0.04 + -0.005k + (-9 * 0.03 + k * 0.03) = 1
0.04 + -0.005k + (-0.27 + 0.03k) = 1

Reorder the terms:
0.04 + -0.27 + -0.005k + 0.03k = 1

Combine like terms: 0.04 + -0.27 = -0.23
-0.23 + -0.005k + 0.03k = 1

Combine like terms: -0.005k + 0.03k = 0.025k
-0.23 + 0.025k = 1

Solving
-0.23 + 0.025k = 1

Solving for variable 'k'.

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

Add '0.23' to each side of the equation.
-0.23 + 0.23 + 0.025k = 1 + 0.23

Combine like terms: -0.23 + 0.23 = 0.00
0.00 + 0.025k = 1 + 0.23
0.025k = 1 + 0.23

Combine like terms: 1 + 0.23 = 1.23
0.025k = 1.23

Divide each side by '0.025'.
k = 49.2

Simplifying
k = 49.2

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