0.003(7-k)+0.04(k-5)=1

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Solution for 0.003(7-k)+0.04(k-5)=1 equation: 


Simplifying
0.003(7 + -1k) + 0.04(k + -5) = 1
(7 * 0.003 + -1k * 0.003) + 0.04(k + -5) = 1
(0.021 + -0.003k) + 0.04(k + -5) = 1

Reorder the terms:
0.021 + -0.003k + 0.04(-5 + k) = 1
0.021 + -0.003k + (-5 * 0.04 + k * 0.04) = 1
0.021 + -0.003k + (-0.2 + 0.04k) = 1

Reorder the terms:
0.021 + -0.2 + -0.003k + 0.04k = 1

Combine like terms: 0.021 + -0.2 = -0.179
-0.179 + -0.003k + 0.04k = 1

Combine like terms: -0.003k + 0.04k = 0.037k
-0.179 + 0.037k = 1

Solving
-0.179 + 0.037k = 1

Solving for variable 'k'.

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

Add '0.179' to each side of the equation.
-0.179 + 0.179 + 0.037k = 1 + 0.179

Combine like terms: -0.179 + 0.179 = 0.000
0.000 + 0.037k = 1 + 0.179
0.037k = 1 + 0.179

Combine like terms: 1 + 0.179 = 1.179
0.037k = 1.179

Divide each side by '0.037'.
k = 31.86486486

Simplifying
k = 31.86486486

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