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

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Solution for 0.2k-(k+0.25)=0.05(k+1) equation:


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

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

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

Combine like terms: 0.2k + -1k = -0.8k
-0.25 + -0.8k = 0.05(k + 1)

Reorder the terms:
-0.25 + -0.8k = 0.05(1 + k)
-0.25 + -0.8k = (1 * 0.05 + k * 0.05)
-0.25 + -0.8k = (0.05 + 0.05k)

Solving
-0.25 + -0.8k = 0.05 + 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.
-0.25 + -0.8k + -0.05k = 0.05 + 0.05k + -0.05k

Combine like terms: -0.8k + -0.05k = -0.85k
-0.25 + -0.85k = 0.05 + 0.05k + -0.05k

Combine like terms: 0.05k + -0.05k = 0.00
-0.25 + -0.85k = 0.05 + 0.00
-0.25 + -0.85k = 0.05

Add '0.25' to each side of the equation.
-0.25 + 0.25 + -0.85k = 0.05 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.85k = 0.05 + 0.25
-0.85k = 0.05 + 0.25

Combine like terms: 0.05 + 0.25 = 0.3
-0.85k = 0.3

Divide each side by '-0.85'.
k = -0.3529411765

Simplifying
k = -0.3529411765

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