0.003(8-k)+0.06(k-5)=1

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Solution for 0.003(8-k)+0.06(k-5)=1 equation: 


Simplifying
0.003(8 + -1k) + 0.06(k + -5) = 1
(8 * 0.003 + -1k * 0.003) + 0.06(k + -5) = 1
(0.024 + -0.003k) + 0.06(k + -5) = 1

Reorder the terms:
0.024 + -0.003k + 0.06(-5 + k) = 1
0.024 + -0.003k + (-5 * 0.06 + k * 0.06) = 1
0.024 + -0.003k + (-0.3 + 0.06k) = 1

Reorder the terms:
0.024 + -0.3 + -0.003k + 0.06k = 1

Combine like terms: 0.024 + -0.3 = -0.276
-0.276 + -0.003k + 0.06k = 1

Combine like terms: -0.003k + 0.06k = 0.057k
-0.276 + 0.057k = 1

Solving
-0.276 + 0.057k = 1

Solving for variable 'k'.

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

Add '0.276' to each side of the equation.
-0.276 + 0.276 + 0.057k = 1 + 0.276

Combine like terms: -0.276 + 0.276 = 0.000
0.000 + 0.057k = 1 + 0.276
0.057k = 1 + 0.276

Combine like terms: 1 + 0.276 = 1.276
0.057k = 1.276

Divide each side by '0.057'.
k = 22.38596491

Simplifying
k = 22.38596491

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