0.007(7-k)+0.06(k-2)=1

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Solution for 0.007(7-k)+0.06(k-2)=1 equation:


Simplifying
0.007(7 + -1k) + 0.06(k + -2) = 1
(7 * 0.007 + -1k * 0.007) + 0.06(k + -2) = 1
(0.049 + -0.007k) + 0.06(k + -2) = 1

Reorder the terms:
0.049 + -0.007k + 0.06(-2 + k) = 1
0.049 + -0.007k + (-2 * 0.06 + k * 0.06) = 1
0.049 + -0.007k + (-0.12 + 0.06k) = 1

Reorder the terms:
0.049 + -0.12 + -0.007k + 0.06k = 1

Combine like terms: 0.049 + -0.12 = -0.071
-0.071 + -0.007k + 0.06k = 1

Combine like terms: -0.007k + 0.06k = 0.053k
-0.071 + 0.053k = 1

Solving
-0.071 + 0.053k = 1

Solving for variable 'k'.

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

Add '0.071' to each side of the equation.
-0.071 + 0.071 + 0.053k = 1 + 0.071

Combine like terms: -0.071 + 0.071 = 0.000
0.000 + 0.053k = 1 + 0.071
0.053k = 1 + 0.071

Combine like terms: 1 + 0.071 = 1.071
0.053k = 1.071

Divide each side by '0.053'.
k = 20.20754717

Simplifying
k = 20.20754717

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