.004(6-k)+.05(k-9)=1

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Solution for .004(6-k)+.05(k-9)=1 equation: 


Simplifying
0.004(6 + -1k) + 0.05(k + -9) = 1
(6 * 0.004 + -1k * 0.004) + 0.05(k + -9) = 1
(0.024 + -0.004k) + 0.05(k + -9) = 1

Reorder the terms:
0.024 + -0.004k + 0.05(-9 + k) = 1
0.024 + -0.004k + (-9 * 0.05 + k * 0.05) = 1
0.024 + -0.004k + (-0.45 + 0.05k) = 1

Reorder the terms:
0.024 + -0.45 + -0.004k + 0.05k = 1

Combine like terms: 0.024 + -0.45 = -0.426
-0.426 + -0.004k + 0.05k = 1

Combine like terms: -0.004k + 0.05k = 0.046k
-0.426 + 0.046k = 1

Solving
-0.426 + 0.046k = 1

Solving for variable 'k'.

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

Add '0.426' to each side of the equation.
-0.426 + 0.426 + 0.046k = 1 + 0.426

Combine like terms: -0.426 + 0.426 = 0.000
0.000 + 0.046k = 1 + 0.426
0.046k = 1 + 0.426

Combine like terms: 1 + 0.426 = 1.426
0.046k = 1.426

Divide each side by '0.046'.
k = 31

Simplifying
k = 31

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