0.003(2-k)+0.04(k-4)=1

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Solution for 0.003(2-k)+0.04(k-4)=1 equation: 


Simplifying
0.003(2 + -1k) + 0.04(k + -4) = 1
(2 * 0.003 + -1k * 0.003) + 0.04(k + -4) = 1
(0.006 + -0.003k) + 0.04(k + -4) = 1

Reorder the terms:
0.006 + -0.003k + 0.04(-4 + k) = 1
0.006 + -0.003k + (-4 * 0.04 + k * 0.04) = 1
0.006 + -0.003k + (-0.16 + 0.04k) = 1

Reorder the terms:
0.006 + -0.16 + -0.003k + 0.04k = 1

Combine like terms: 0.006 + -0.16 = -0.154
-0.154 + -0.003k + 0.04k = 1

Combine like terms: -0.003k + 0.04k = 0.037k
-0.154 + 0.037k = 1

Solving
-0.154 + 0.037k = 1

Solving for variable 'k'.

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

Add '0.154' to each side of the equation.
-0.154 + 0.154 + 0.037k = 1 + 0.154

Combine like terms: -0.154 + 0.154 = 0.000
0.000 + 0.037k = 1 + 0.154
0.037k = 1 + 0.154

Combine like terms: 1 + 0.154 = 1.154
0.037k = 1.154

Divide each side by '0.037'.
k = 31.18918919

Simplifying
k = 31.18918919

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