0.003(2-k)+0.07(k-7)=1

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Solution for 0.003(2-k)+0.07(k-7)=1 equation: 


Simplifying
0.003(2 + -1k) + 0.07(k + -7) = 1
(2 * 0.003 + -1k * 0.003) + 0.07(k + -7) = 1
(0.006 + -0.003k) + 0.07(k + -7) = 1

Reorder the terms:
0.006 + -0.003k + 0.07(-7 + k) = 1
0.006 + -0.003k + (-7 * 0.07 + k * 0.07) = 1
0.006 + -0.003k + (-0.49 + 0.07k) = 1

Reorder the terms:
0.006 + -0.49 + -0.003k + 0.07k = 1

Combine like terms: 0.006 + -0.49 = -0.484
-0.484 + -0.003k + 0.07k = 1

Combine like terms: -0.003k + 0.07k = 0.067k
-0.484 + 0.067k = 1

Solving
-0.484 + 0.067k = 1

Solving for variable 'k'.

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

Add '0.484' to each side of the equation.
-0.484 + 0.484 + 0.067k = 1 + 0.484

Combine like terms: -0.484 + 0.484 = 0.000
0.000 + 0.067k = 1 + 0.484
0.067k = 1 + 0.484

Combine like terms: 1 + 0.484 = 1.484
0.067k = 1.484

Divide each side by '0.067'.
k = 22.14925373

Simplifying
k = 22.14925373

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