.60k-(k+.20)=.40(k+5)

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Solution for .60k-(k+.20)=.40(k+5) equation:


Simplifying
0.60k + -1(k + 0.20) = 0.40(k + 5)

Reorder the terms:
0.60k + -1(0.20 + k) = 0.40(k + 5)
0.60k + (0.20 * -1 + k * -1) = 0.40(k + 5)
0.60k + (-0.2 + -1k) = 0.40(k + 5)

Reorder the terms:
-0.2 + 0.60k + -1k = 0.40(k + 5)

Combine like terms: 0.60k + -1k = -0.4k
-0.2 + -0.4k = 0.40(k + 5)

Reorder the terms:
-0.2 + -0.4k = 0.40(5 + k)
-0.2 + -0.4k = (5 * 0.40 + k * 0.40)
-0.2 + -0.4k = (2 + 0.40k)

Solving
-0.2 + -0.4k = 2 + 0.40k

Solving for variable 'k'.

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

Add '-0.40k' to each side of the equation.
-0.2 + -0.4k + -0.40k = 2 + 0.40k + -0.40k

Combine like terms: -0.4k + -0.40k = -0.8k
-0.2 + -0.8k = 2 + 0.40k + -0.40k

Combine like terms: 0.40k + -0.40k = 0.00
-0.2 + -0.8k = 2 + 0.00
-0.2 + -0.8k = 2

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.8k = 2 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.8k = 2 + 0.2
-0.8k = 2 + 0.2

Combine like terms: 2 + 0.2 = 2.2
-0.8k = 2.2

Divide each side by '-0.8'.
k = -2.75

Simplifying
k = -2.75

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