0.003(9-k)+0.06(k-3)=1

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Solution for 0.003(9-k)+0.06(k-3)=1 equation: 


Simplifying
0.003(9 + -1k) + 0.06(k + -3) = 1
(9 * 0.003 + -1k * 0.003) + 0.06(k + -3) = 1
(0.027 + -0.003k) + 0.06(k + -3) = 1

Reorder the terms:
0.027 + -0.003k + 0.06(-3 + k) = 1
0.027 + -0.003k + (-3 * 0.06 + k * 0.06) = 1
0.027 + -0.003k + (-0.18 + 0.06k) = 1

Reorder the terms:
0.027 + -0.18 + -0.003k + 0.06k = 1

Combine like terms: 0.027 + -0.18 = -0.153
-0.153 + -0.003k + 0.06k = 1

Combine like terms: -0.003k + 0.06k = 0.057k
-0.153 + 0.057k = 1

Solving
-0.153 + 0.057k = 1

Solving for variable 'k'.

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

Add '0.153' to each side of the equation.
-0.153 + 0.153 + 0.057k = 1 + 0.153

Combine like terms: -0.153 + 0.153 = 0.000
0.000 + 0.057k = 1 + 0.153
0.057k = 1 + 0.153

Combine like terms: 1 + 0.153 = 1.153
0.057k = 1.153

Divide each side by '0.057'.
k = 20.22807018

Simplifying
k = 20.22807018

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