0.25k-(k+0.2)=0.05(k+4)

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Solution for 0.25k-(k+0.2)=0.05(k+4) equation: 


Simplifying
0.25k + -1(k + 0.2) = 0.05(k + 4)

Reorder the terms:
0.25k + -1(0.2 + k) = 0.05(k + 4)
0.25k + (0.2 * -1 + k * -1) = 0.05(k + 4)
0.25k + (-0.2 + -1k) = 0.05(k + 4)

Reorder the terms:
-0.2 + 0.25k + -1k = 0.05(k + 4)

Combine like terms: 0.25k + -1k = -0.75k
-0.2 + -0.75k = 0.05(k + 4)

Reorder the terms:
-0.2 + -0.75k = 0.05(4 + k)
-0.2 + -0.75k = (4 * 0.05 + k * 0.05)
-0.2 + -0.75k = (0.2 + 0.05k)

Solving
-0.2 + -0.75k = 0.2 + 0.05k

Solving for variable 'k'.

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

Add '-0.05k' to each side of the equation.
-0.2 + -0.75k + -0.05k = 0.2 + 0.05k + -0.05k

Combine like terms: -0.75k + -0.05k = -0.8k
-0.2 + -0.8k = 0.2 + 0.05k + -0.05k

Combine like terms: 0.05k + -0.05k = 0.00
-0.2 + -0.8k = 0.2 + 0.00
-0.2 + -0.8k = 0.2

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

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

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

Divide each side by '-0.8'.
k = -0.5

Simplifying
k = -0.5

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