-7(k+4)-(-6k-9)=-2k

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Solution for -7(k+4)-(-6k-9)=-2k equation:


Simplifying
-7(k + 4) + -1(-6k + -9) = -2k

Reorder the terms:
-7(4 + k) + -1(-6k + -9) = -2k
(4 * -7 + k * -7) + -1(-6k + -9) = -2k
(-28 + -7k) + -1(-6k + -9) = -2k

Reorder the terms:
-28 + -7k + -1(-9 + -6k) = -2k
-28 + -7k + (-9 * -1 + -6k * -1) = -2k
-28 + -7k + (9 + 6k) = -2k

Reorder the terms:
-28 + 9 + -7k + 6k = -2k

Combine like terms: -28 + 9 = -19
-19 + -7k + 6k = -2k

Combine like terms: -7k + 6k = -1k
-19 + -1k = -2k

Solving
-19 + -1k = -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-19 + -1k + 2k = -2k + 2k

Combine like terms: -1k + 2k = 1k
-19 + 1k = -2k + 2k

Combine like terms: -2k + 2k = 0
-19 + 1k = 0

Add '19' to each side of the equation.
-19 + 19 + 1k = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 1k = 0 + 19
1k = 0 + 19

Combine like terms: 0 + 19 = 19
1k = 19

Divide each side by '1'.
k = 19

Simplifying
k = 19

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