-3(k+4)-(-4k-9)=-8

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Solution for -3(k+4)-(-4k-9)=-8 equation: 


Simplifying
-3(k + 4) + -1(-4k + -9) = -8

Reorder the terms:
-3(4 + k) + -1(-4k + -9) = -8
(4 * -3 + k * -3) + -1(-4k + -9) = -8
(-12 + -3k) + -1(-4k + -9) = -8

Reorder the terms:
-12 + -3k + -1(-9 + -4k) = -8
-12 + -3k + (-9 * -1 + -4k * -1) = -8
-12 + -3k + (9 + 4k) = -8

Reorder the terms:
-12 + 9 + -3k + 4k = -8

Combine like terms: -12 + 9 = -3
-3 + -3k + 4k = -8

Combine like terms: -3k + 4k = 1k
-3 + 1k = -8

Solving
-3 + 1k = -8

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + 3 + 1k = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 1k = -8 + 3
1k = -8 + 3

Combine like terms: -8 + 3 = -5
1k = -5

Divide each side by '1'.
k = -5

Simplifying
k = -5

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