0.007(6-k)+0.04(k-2)=1

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Solution for 0.007(6-k)+0.04(k-2)=1 equation: 


Simplifying
0.007(6 + -1k) + 0.04(k + -2) = 1
(6 * 0.007 + -1k * 0.007) + 0.04(k + -2) = 1
(0.042 + -0.007k) + 0.04(k + -2) = 1

Reorder the terms:
0.042 + -0.007k + 0.04(-2 + k) = 1
0.042 + -0.007k + (-2 * 0.04 + k * 0.04) = 1
0.042 + -0.007k + (-0.08 + 0.04k) = 1

Reorder the terms:
0.042 + -0.08 + -0.007k + 0.04k = 1

Combine like terms: 0.042 + -0.08 = -0.038
-0.038 + -0.007k + 0.04k = 1

Combine like terms: -0.007k + 0.04k = 0.033k
-0.038 + 0.033k = 1

Solving
-0.038 + 0.033k = 1

Solving for variable 'k'.

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

Add '0.038' to each side of the equation.
-0.038 + 0.038 + 0.033k = 1 + 0.038

Combine like terms: -0.038 + 0.038 = 0.000
0.000 + 0.033k = 1 + 0.038
0.033k = 1 + 0.038

Combine like terms: 1 + 0.038 = 1.038
0.033k = 1.038

Divide each side by '0.033'.
k = 31.45454545

Simplifying
k = 31.45454545

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