0.007(1-k)+0.03(k-8)=1

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Solution for 0.007(1-k)+0.03(k-8)=1 equation: 


Simplifying
0.007(1 + -1k) + 0.03(k + -8) = 1
(1 * 0.007 + -1k * 0.007) + 0.03(k + -8) = 1
(0.007 + -0.007k) + 0.03(k + -8) = 1

Reorder the terms:
0.007 + -0.007k + 0.03(-8 + k) = 1
0.007 + -0.007k + (-8 * 0.03 + k * 0.03) = 1
0.007 + -0.007k + (-0.24 + 0.03k) = 1

Reorder the terms:
0.007 + -0.24 + -0.007k + 0.03k = 1

Combine like terms: 0.007 + -0.24 = -0.233
-0.233 + -0.007k + 0.03k = 1

Combine like terms: -0.007k + 0.03k = 0.023k
-0.233 + 0.023k = 1

Solving
-0.233 + 0.023k = 1

Solving for variable 'k'.

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

Add '0.233' to each side of the equation.
-0.233 + 0.233 + 0.023k = 1 + 0.233

Combine like terms: -0.233 + 0.233 = 0.000
0.000 + 0.023k = 1 + 0.233
0.023k = 1 + 0.233

Combine like terms: 1 + 0.233 = 1.233
0.023k = 1.233

Divide each side by '0.023'.
k = 53.60869565

Simplifying
k = 53.60869565

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