0.002(2-k)+0.07(k-4)=1

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Solution for 0.002(2-k)+0.07(k-4)=1 equation: 


Simplifying
0.002(2 + -1k) + 0.07(k + -4) = 1
(2 * 0.002 + -1k * 0.002) + 0.07(k + -4) = 1
(0.004 + -0.002k) + 0.07(k + -4) = 1

Reorder the terms:
0.004 + -0.002k + 0.07(-4 + k) = 1
0.004 + -0.002k + (-4 * 0.07 + k * 0.07) = 1
0.004 + -0.002k + (-0.28 + 0.07k) = 1

Reorder the terms:
0.004 + -0.28 + -0.002k + 0.07k = 1

Combine like terms: 0.004 + -0.28 = -0.276
-0.276 + -0.002k + 0.07k = 1

Combine like terms: -0.002k + 0.07k = 0.068k
-0.276 + 0.068k = 1

Solving
-0.276 + 0.068k = 1

Solving for variable 'k'.

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

Add '0.276' to each side of the equation.
-0.276 + 0.276 + 0.068k = 1 + 0.276

Combine like terms: -0.276 + 0.276 = 0.000
0.000 + 0.068k = 1 + 0.276
0.068k = 1 + 0.276

Combine like terms: 1 + 0.276 = 1.276
0.068k = 1.276

Divide each side by '0.068'.
k = 18.76470588

Simplifying
k = 18.76470588

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