.375(3K+1)-0.33(7k+2)=1

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Solution for .375(3K+1)-0.33(7k+2)=1 equation: 


Simplifying
0.375(3K + 1) + -0.33(7k + 2) = 1

Reorder the terms:
0.375(1 + 3K) + -0.33(7k + 2) = 1
(1 * 0.375 + 3K * 0.375) + -0.33(7k + 2) = 1
(0.375 + 1.125K) + -0.33(7k + 2) = 1

Reorder the terms:
0.375 + 1.125K + -0.33(2 + 7k) = 1
0.375 + 1.125K + (2 * -0.33 + 7k * -0.33) = 1
0.375 + 1.125K + (-0.66 + -2.31k) = 1

Reorder the terms:
0.375 + -0.66 + 1.125K + -2.31k = 1

Combine like terms: 0.375 + -0.66 = -0.285
-0.285 + 1.125K + -2.31k = 1

Solving
-0.285 + 1.125K + -2.31k = 1

Solving for variable 'K'.

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

Add '0.285' to each side of the equation.
-0.285 + 1.125K + 0.285 + -2.31k = 1 + 0.285

Reorder the terms:
-0.285 + 0.285 + 1.125K + -2.31k = 1 + 0.285

Combine like terms: -0.285 + 0.285 = 0.000
0.000 + 1.125K + -2.31k = 1 + 0.285
1.125K + -2.31k = 1 + 0.285

Combine like terms: 1 + 0.285 = 1.285
1.125K + -2.31k = 1.285

Add '2.31k' to each side of the equation.
1.125K + -2.31k + 2.31k = 1.285 + 2.31k

Combine like terms: -2.31k + 2.31k = 0.00
1.125K + 0.00 = 1.285 + 2.31k
1.125K = 1.285 + 2.31k

Divide each side by '1.125'.
K = 1.142222222 + 2.053333333k

Simplifying
K = 1.142222222 + 2.053333333k

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