0.007(6-k)+0.04(k-9)=1

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Solution for 0.007(6-k)+0.04(k-9)=1 equation: 


Simplifying
0.007(6 + -1k) + 0.04(k + -9) = 1
(6 * 0.007 + -1k * 0.007) + 0.04(k + -9) = 1
(0.042 + -0.007k) + 0.04(k + -9) = 1

Reorder the terms:
0.042 + -0.007k + 0.04(-9 + k) = 1
0.042 + -0.007k + (-9 * 0.04 + k * 0.04) = 1
0.042 + -0.007k + (-0.36 + 0.04k) = 1

Reorder the terms:
0.042 + -0.36 + -0.007k + 0.04k = 1

Combine like terms: 0.042 + -0.36 = -0.318
-0.318 + -0.007k + 0.04k = 1

Combine like terms: -0.007k + 0.04k = 0.033k
-0.318 + 0.033k = 1

Solving
-0.318 + 0.033k = 1

Solving for variable 'k'.

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

Add '0.318' to each side of the equation.
-0.318 + 0.318 + 0.033k = 1 + 0.318

Combine like terms: -0.318 + 0.318 = 0.000
0.000 + 0.033k = 1 + 0.318
0.033k = 1 + 0.318

Combine like terms: 1 + 0.318 = 1.318
0.033k = 1.318

Divide each side by '0.033'.
k = 39.93939394

Simplifying
k = 39.93939394

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