7k+k+19=3k-31

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Solution for 7k+k+19=3k-31 equation:


Simplifying
7k + k + 19 = 3k + -31

Reorder the terms:
19 + 7k + k = 3k + -31

Combine like terms: 7k + k = 8k
19 + 8k = 3k + -31

Reorder the terms:
19 + 8k = -31 + 3k

Solving
19 + 8k = -31 + 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.
19 + 8k + -3k = -31 + 3k + -3k

Combine like terms: 8k + -3k = 5k
19 + 5k = -31 + 3k + -3k

Combine like terms: 3k + -3k = 0
19 + 5k = -31 + 0
19 + 5k = -31

Add '-19' to each side of the equation.
19 + -19 + 5k = -31 + -19

Combine like terms: 19 + -19 = 0
0 + 5k = -31 + -19
5k = -31 + -19

Combine like terms: -31 + -19 = -50
5k = -50

Divide each side by '5'.
k = -10

Simplifying
k = -10

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