0.002(3-k)+0.07(k-3)=1

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Solution for 0.002(3-k)+0.07(k-3)=1 equation: 


Simplifying
0.002(3 + -1k) + 0.07(k + -3) = 1
(3 * 0.002 + -1k * 0.002) + 0.07(k + -3) = 1
(0.006 + -0.002k) + 0.07(k + -3) = 1

Reorder the terms:
0.006 + -0.002k + 0.07(-3 + k) = 1
0.006 + -0.002k + (-3 * 0.07 + k * 0.07) = 1
0.006 + -0.002k + (-0.21 + 0.07k) = 1

Reorder the terms:
0.006 + -0.21 + -0.002k + 0.07k = 1

Combine like terms: 0.006 + -0.21 = -0.204
-0.204 + -0.002k + 0.07k = 1

Combine like terms: -0.002k + 0.07k = 0.068k
-0.204 + 0.068k = 1

Solving
-0.204 + 0.068k = 1

Solving for variable 'k'.

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

Add '0.204' to each side of the equation.
-0.204 + 0.204 + 0.068k = 1 + 0.204

Combine like terms: -0.204 + 0.204 = 0.000
0.000 + 0.068k = 1 + 0.204
0.068k = 1 + 0.204

Combine like terms: 1 + 0.204 = 1.204
0.068k = 1.204

Divide each side by '0.068'.
k = 17.70588235

Simplifying
k = 17.70588235

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