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

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


Simplifying
0.007(9 + -1k) + 0.04(k + -6) = 1
(9 * 0.007 + -1k * 0.007) + 0.04(k + -6) = 1
(0.063 + -0.007k) + 0.04(k + -6) = 1

Reorder the terms:
0.063 + -0.007k + 0.04(-6 + k) = 1
0.063 + -0.007k + (-6 * 0.04 + k * 0.04) = 1
0.063 + -0.007k + (-0.24 + 0.04k) = 1

Reorder the terms:
0.063 + -0.24 + -0.007k + 0.04k = 1

Combine like terms: 0.063 + -0.24 = -0.177
-0.177 + -0.007k + 0.04k = 1

Combine like terms: -0.007k + 0.04k = 0.033k
-0.177 + 0.033k = 1

Solving
-0.177 + 0.033k = 1

Solving for variable 'k'.

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

Add '0.177' to each side of the equation.
-0.177 + 0.177 + 0.033k = 1 + 0.177

Combine like terms: -0.177 + 0.177 = 0.000
0.000 + 0.033k = 1 + 0.177
0.033k = 1 + 0.177

Combine like terms: 1 + 0.177 = 1.177
0.033k = 1.177

Divide each side by '0.033'.
k = 35.66666667

Simplifying
k = 35.66666667

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