0.006(7-k)+0.03(k-2)=1

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Solution for 0.006(7-k)+0.03(k-2)=1 equation: 


Simplifying
0.006(7 + -1k) + 0.03(k + -2) = 1
(7 * 0.006 + -1k * 0.006) + 0.03(k + -2) = 1
(0.042 + -0.006k) + 0.03(k + -2) = 1

Reorder the terms:
0.042 + -0.006k + 0.03(-2 + k) = 1
0.042 + -0.006k + (-2 * 0.03 + k * 0.03) = 1
0.042 + -0.006k + (-0.06 + 0.03k) = 1

Reorder the terms:
0.042 + -0.06 + -0.006k + 0.03k = 1

Combine like terms: 0.042 + -0.06 = -0.018
-0.018 + -0.006k + 0.03k = 1

Combine like terms: -0.006k + 0.03k = 0.024k
-0.018 + 0.024k = 1

Solving
-0.018 + 0.024k = 1

Solving for variable 'k'.

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

Add '0.018' to each side of the equation.
-0.018 + 0.018 + 0.024k = 1 + 0.018

Combine like terms: -0.018 + 0.018 = 0.000
0.000 + 0.024k = 1 + 0.018
0.024k = 1 + 0.018

Combine like terms: 1 + 0.018 = 1.018
0.024k = 1.018

Divide each side by '0.024'.
k = 42.41666667

Simplifying
k = 42.41666667

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