-9(k+4)=-7-7(k+5)

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Solution for -9(k+4)=-7-7(k+5) equation: 


Simplifying
-9(k + 4) = -7 + -7(k + 5)

Reorder the terms:
-9(4 + k) = -7 + -7(k + 5)
(4 * -9 + k * -9) = -7 + -7(k + 5)
(-36 + -9k) = -7 + -7(k + 5)

Reorder the terms:
-36 + -9k = -7 + -7(5 + k)
-36 + -9k = -7 + (5 * -7 + k * -7)
-36 + -9k = -7 + (-35 + -7k)

Combine like terms: -7 + -35 = -42
-36 + -9k = -42 + -7k

Solving
-36 + -9k = -42 + -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
-36 + -9k + 7k = -42 + -7k + 7k

Combine like terms: -9k + 7k = -2k
-36 + -2k = -42 + -7k + 7k

Combine like terms: -7k + 7k = 0
-36 + -2k = -42 + 0
-36 + -2k = -42

Add '36' to each side of the equation.
-36 + 36 + -2k = -42 + 36

Combine like terms: -36 + 36 = 0
0 + -2k = -42 + 36
-2k = -42 + 36

Combine like terms: -42 + 36 = -6
-2k = -6

Divide each side by '-2'.
k = 3

Simplifying
k = 3

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