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

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


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

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

Reorder the terms:
11 + 4k = -7(1 + 3k) + -7
11 + 4k = (1 * -7 + 3k * -7) + -7
11 + 4k = (-7 + -21k) + -7

Reorder the terms:
11 + 4k = -7 + -7 + -21k

Combine like terms: -7 + -7 = -14
11 + 4k = -14 + -21k

Solving
11 + 4k = -14 + -21k

Solving for variable 'k'.

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

Add '21k' to each side of the equation.
11 + 4k + 21k = -14 + -21k + 21k

Combine like terms: 4k + 21k = 25k
11 + 25k = -14 + -21k + 21k

Combine like terms: -21k + 21k = 0
11 + 25k = -14 + 0
11 + 25k = -14

Add '-11' to each side of the equation.
11 + -11 + 25k = -14 + -11

Combine like terms: 11 + -11 = 0
0 + 25k = -14 + -11
25k = -14 + -11

Combine like terms: -14 + -11 = -25
25k = -25

Divide each side by '25'.
k = -1

Simplifying
k = -1

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