.003(9-k)+.04(k-8)=1

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Solution for .003(9-k)+.04(k-8)=1 equation: 


Simplifying
0.003(9 + -1k) + 0.04(k + -8) = 1
(9 * 0.003 + -1k * 0.003) + 0.04(k + -8) = 1
(0.027 + -0.003k) + 0.04(k + -8) = 1

Reorder the terms:
0.027 + -0.003k + 0.04(-8 + k) = 1
0.027 + -0.003k + (-8 * 0.04 + k * 0.04) = 1
0.027 + -0.003k + (-0.32 + 0.04k) = 1

Reorder the terms:
0.027 + -0.32 + -0.003k + 0.04k = 1

Combine like terms: 0.027 + -0.32 = -0.293
-0.293 + -0.003k + 0.04k = 1

Combine like terms: -0.003k + 0.04k = 0.037k
-0.293 + 0.037k = 1

Solving
-0.293 + 0.037k = 1

Solving for variable 'k'.

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

Add '0.293' to each side of the equation.
-0.293 + 0.293 + 0.037k = 1 + 0.293

Combine like terms: -0.293 + 0.293 = 0.000
0.000 + 0.037k = 1 + 0.293
0.037k = 1 + 0.293

Combine like terms: 1 + 0.293 = 1.293
0.037k = 1.293

Divide each side by '0.037'.
k = 34.94594595

Simplifying
k = 34.94594595

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