-6(k+8)-(-4k-5)=-3k

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Solution for -6(k+8)-(-4k-5)=-3k equation:


Simplifying
-6(k + 8) + -1(-4k + -5) = -3k

Reorder the terms:
-6(8 + k) + -1(-4k + -5) = -3k
(8 * -6 + k * -6) + -1(-4k + -5) = -3k
(-48 + -6k) + -1(-4k + -5) = -3k

Reorder the terms:
-48 + -6k + -1(-5 + -4k) = -3k
-48 + -6k + (-5 * -1 + -4k * -1) = -3k
-48 + -6k + (5 + 4k) = -3k

Reorder the terms:
-48 + 5 + -6k + 4k = -3k

Combine like terms: -48 + 5 = -43
-43 + -6k + 4k = -3k

Combine like terms: -6k + 4k = -2k
-43 + -2k = -3k

Solving
-43 + -2k = -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-43 + -2k + 3k = -3k + 3k

Combine like terms: -2k + 3k = 1k
-43 + 1k = -3k + 3k

Combine like terms: -3k + 3k = 0
-43 + 1k = 0

Add '43' to each side of the equation.
-43 + 43 + 1k = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 1k = 0 + 43
1k = 0 + 43

Combine like terms: 0 + 43 = 43
1k = 43

Divide each side by '1'.
k = 43

Simplifying
k = 43

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