.005(4-k)+.02(k-3)=1

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Solution for .005(4-k)+.02(k-3)=1 equation:


Simplifying
0.005(4 + -1k) + 0.02(k + -3) = 1
(4 * 0.005 + -1k * 0.005) + 0.02(k + -3) = 1
(0.02 + -0.005k) + 0.02(k + -3) = 1

Reorder the terms:
0.02 + -0.005k + 0.02(-3 + k) = 1
0.02 + -0.005k + (-3 * 0.02 + k * 0.02) = 1
0.02 + -0.005k + (-0.06 + 0.02k) = 1

Reorder the terms:
0.02 + -0.06 + -0.005k + 0.02k = 1

Combine like terms: 0.02 + -0.06 = -0.04
-0.04 + -0.005k + 0.02k = 1

Combine like terms: -0.005k + 0.02k = 0.015k
-0.04 + 0.015k = 1

Solving
-0.04 + 0.015k = 1

Solving for variable 'k'.

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

Add '0.04' to each side of the equation.
-0.04 + 0.04 + 0.015k = 1 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 0.015k = 1 + 0.04
0.015k = 1 + 0.04

Combine like terms: 1 + 0.04 = 1.04
0.015k = 1.04

Divide each side by '0.015'.
k = 69.33333333

Simplifying
k = 69.33333333

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