k+1=3k-11

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Solution for k+1=3k-11 equation:


Simplifying
k + 1 = 3k + -11

Reorder the terms:
1 + k = 3k + -11

Reorder the terms:
1 + k = -11 + 3k

Solving
1 + k = -11 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
1 + k + -3k = -11 + 3k + -3k

Combine like terms: k + -3k = -2k
1 + -2k = -11 + 3k + -3k

Combine like terms: 3k + -3k = 0
1 + -2k = -11 + 0
1 + -2k = -11

Add '-1' to each side of the equation.
1 + -1 + -2k = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -2k = -11 + -1
-2k = -11 + -1

Combine like terms: -11 + -1 = -12
-2k = -12

Divide each side by '-2'.
k = 6

Simplifying
k = 6

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