-5k+19=-5(1+7k)-6

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Solution for -5k+19=-5(1+7k)-6 equation:


Simplifying
-5k + 19 = -5(1 + 7k) + -6

Reorder the terms:
19 + -5k = -5(1 + 7k) + -6
19 + -5k = (1 * -5 + 7k * -5) + -6
19 + -5k = (-5 + -35k) + -6

Reorder the terms:
19 + -5k = -5 + -6 + -35k

Combine like terms: -5 + -6 = -11
19 + -5k = -11 + -35k

Solving
19 + -5k = -11 + -35k

Solving for variable 'k'.

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

Add '35k' to each side of the equation.
19 + -5k + 35k = -11 + -35k + 35k

Combine like terms: -5k + 35k = 30k
19 + 30k = -11 + -35k + 35k

Combine like terms: -35k + 35k = 0
19 + 30k = -11 + 0
19 + 30k = -11

Add '-19' to each side of the equation.
19 + -19 + 30k = -11 + -19

Combine like terms: 19 + -19 = 0
0 + 30k = -11 + -19
30k = -11 + -19

Combine like terms: -11 + -19 = -30
30k = -30

Divide each side by '30'.
k = -1

Simplifying
k = -1

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