.002(5-k)+.06(k-3)=1

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Solution for .002(5-k)+.06(k-3)=1 equation: 


Simplifying
0.002(5 + -1k) + 0.06(k + -3) = 1
(5 * 0.002 + -1k * 0.002) + 0.06(k + -3) = 1
(0.01 + -0.002k) + 0.06(k + -3) = 1

Reorder the terms:
0.01 + -0.002k + 0.06(-3 + k) = 1
0.01 + -0.002k + (-3 * 0.06 + k * 0.06) = 1
0.01 + -0.002k + (-0.18 + 0.06k) = 1

Reorder the terms:
0.01 + -0.18 + -0.002k + 0.06k = 1

Combine like terms: 0.01 + -0.18 = -0.17
-0.17 + -0.002k + 0.06k = 1

Combine like terms: -0.002k + 0.06k = 0.058k
-0.17 + 0.058k = 1

Solving
-0.17 + 0.058k = 1

Solving for variable 'k'.

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

Add '0.17' to each side of the equation.
-0.17 + 0.17 + 0.058k = 1 + 0.17

Combine like terms: -0.17 + 0.17 = 0.00
0.00 + 0.058k = 1 + 0.17
0.058k = 1 + 0.17

Combine like terms: 1 + 0.17 = 1.17
0.058k = 1.17

Divide each side by '0.058'.
k = 20.17241379

Simplifying
k = 20.17241379

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