k+1=9k-1

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Solution for k+1=9k-1 equation:


Simplifying
k + 1 = 9k + -1

Reorder the terms:
1 + k = 9k + -1

Reorder the terms:
1 + k = -1 + 9k

Solving
1 + k = -1 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
1 + k + -9k = -1 + 9k + -9k

Combine like terms: k + -9k = -8k
1 + -8k = -1 + 9k + -9k

Combine like terms: 9k + -9k = 0
1 + -8k = -1 + 0
1 + -8k = -1

Add '-1' to each side of the equation.
1 + -1 + -8k = -1 + -1

Combine like terms: 1 + -1 = 0
0 + -8k = -1 + -1
-8k = -1 + -1

Combine like terms: -1 + -1 = -2
-8k = -2

Divide each side by '-8'.
k = 0.25

Simplifying
k = 0.25

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