0.003(8-k)+0.09(k-3)=1

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Solution for 0.003(8-k)+0.09(k-3)=1 equation: 


Simplifying
0.003(8 + -1k) + 0.09(k + -3) = 1
(8 * 0.003 + -1k * 0.003) + 0.09(k + -3) = 1
(0.024 + -0.003k) + 0.09(k + -3) = 1

Reorder the terms:
0.024 + -0.003k + 0.09(-3 + k) = 1
0.024 + -0.003k + (-3 * 0.09 + k * 0.09) = 1
0.024 + -0.003k + (-0.27 + 0.09k) = 1

Reorder the terms:
0.024 + -0.27 + -0.003k + 0.09k = 1

Combine like terms: 0.024 + -0.27 = -0.246
-0.246 + -0.003k + 0.09k = 1

Combine like terms: -0.003k + 0.09k = 0.087k
-0.246 + 0.087k = 1

Solving
-0.246 + 0.087k = 1

Solving for variable 'k'.

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

Add '0.246' to each side of the equation.
-0.246 + 0.246 + 0.087k = 1 + 0.246

Combine like terms: -0.246 + 0.246 = 0.000
0.000 + 0.087k = 1 + 0.246
0.087k = 1 + 0.246

Combine like terms: 1 + 0.246 = 1.246
0.087k = 1.246

Divide each side by '0.087'.
k = 14.32183908

Simplifying
k = 14.32183908

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