.0008(3-k)+.02(k-7)=1

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Solution for .0008(3-k)+.02(k-7)=1 equation: 


Simplifying
0.0008(3 + -1k) + 0.02(k + -7) = 1
(3 * 0.0008 + -1k * 0.0008) + 0.02(k + -7) = 1
(0.0024 + -0.0008k) + 0.02(k + -7) = 1

Reorder the terms:
0.0024 + -0.0008k + 0.02(-7 + k) = 1
0.0024 + -0.0008k + (-7 * 0.02 + k * 0.02) = 1
0.0024 + -0.0008k + (-0.14 + 0.02k) = 1

Reorder the terms:
0.0024 + -0.14 + -0.0008k + 0.02k = 1

Combine like terms: 0.0024 + -0.14 = -0.1376
-0.1376 + -0.0008k + 0.02k = 1

Combine like terms: -0.0008k + 0.02k = 0.0192k
-0.1376 + 0.0192k = 1

Solving
-0.1376 + 0.0192k = 1

Solving for variable 'k'.

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

Add '0.1376' to each side of the equation.
-0.1376 + 0.1376 + 0.0192k = 1 + 0.1376

Combine like terms: -0.1376 + 0.1376 = 0.0000
0.0000 + 0.0192k = 1 + 0.1376
0.0192k = 1 + 0.1376

Combine like terms: 1 + 0.1376 = 1.1376
0.0192k = 1.1376

Divide each side by '0.0192'.
k = 59.25

Simplifying
k = 59.25

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