13k+3(k+11)=8k+-7

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Solution for 13k+3(k+11)=8k+-7 equation: 


Simplifying
13k + 3(k + 11) = 8k + -7

Reorder the terms:
13k + 3(11 + k) = 8k + -7
13k + (11 * 3 + k * 3) = 8k + -7
13k + (33 + 3k) = 8k + -7

Reorder the terms:
33 + 13k + 3k = 8k + -7

Combine like terms: 13k + 3k = 16k
33 + 16k = 8k + -7

Reorder the terms:
33 + 16k = -7 + 8k

Solving
33 + 16k = -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.
33 + 16k + -8k = -7 + 8k + -8k

Combine like terms: 16k + -8k = 8k
33 + 8k = -7 + 8k + -8k

Combine like terms: 8k + -8k = 0
33 + 8k = -7 + 0
33 + 8k = -7

Add '-33' to each side of the equation.
33 + -33 + 8k = -7 + -33

Combine like terms: 33 + -33 = 0
0 + 8k = -7 + -33
8k = -7 + -33

Combine like terms: -7 + -33 = -40
8k = -40

Divide each side by '8'.
k = -5

Simplifying
k = -5

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