13k+(k+11)=8k-7

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Solution for 13k+(k+11)=8k-7 equation:


Simplifying
13k + (k + 11) = 8k + -7

Reorder the terms:
13k + (11 + k) = 8k + -7

Remove parenthesis around (11 + k)
13k + 11 + k = 8k + -7

Reorder the terms:
11 + 13k + k = 8k + -7

Combine like terms: 13k + k = 14k
11 + 14k = 8k + -7

Reorder the terms:
11 + 14k = -7 + 8k

Solving
11 + 14k = -7 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
11 + 14k + -8k = -7 + 8k + -8k

Combine like terms: 14k + -8k = 6k
11 + 6k = -7 + 8k + -8k

Combine like terms: 8k + -8k = 0
11 + 6k = -7 + 0
11 + 6k = -7

Add '-11' to each side of the equation.
11 + -11 + 6k = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 6k = -7 + -11
6k = -7 + -11

Combine like terms: -7 + -11 = -18
6k = -18

Divide each side by '6'.
k = -3

Simplifying
k = -3

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