11-5k=-3(4k+1)-7k

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Solution for 11-5k=-3(4k+1)-7k equation: 


Simplifying
11 + -5k = -3(4k + 1) + -7k

Reorder the terms:
11 + -5k = -3(1 + 4k) + -7k
11 + -5k = (1 * -3 + 4k * -3) + -7k
11 + -5k = (-3 + -12k) + -7k

Combine like terms: -12k + -7k = -19k
11 + -5k = -3 + -19k

Solving
11 + -5k = -3 + -19k

Solving for variable 'k'.

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

Add '19k' to each side of the equation.
11 + -5k + 19k = -3 + -19k + 19k

Combine like terms: -5k + 19k = 14k
11 + 14k = -3 + -19k + 19k

Combine like terms: -19k + 19k = 0
11 + 14k = -3 + 0
11 + 14k = -3

Add '-11' to each side of the equation.
11 + -11 + 14k = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 14k = -3 + -11
14k = -3 + -11

Combine like terms: -3 + -11 = -14
14k = -14

Divide each side by '14'.
k = -1

Simplifying
k = -1

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