-3(-3k-8)+4(k+2)=19

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Solution for -3(-3k-8)+4(k+2)=19 equation: 


Simplifying
-3(-3k + -8) + 4(k + 2) = 19

Reorder the terms:
-3(-8 + -3k) + 4(k + 2) = 19
(-8 * -3 + -3k * -3) + 4(k + 2) = 19
(24 + 9k) + 4(k + 2) = 19

Reorder the terms:
24 + 9k + 4(2 + k) = 19
24 + 9k + (2 * 4 + k * 4) = 19
24 + 9k + (8 + 4k) = 19

Reorder the terms:
24 + 8 + 9k + 4k = 19

Combine like terms: 24 + 8 = 32
32 + 9k + 4k = 19

Combine like terms: 9k + 4k = 13k
32 + 13k = 19

Solving
32 + 13k = 19

Solving for variable 'k'.

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

Add '-32' to each side of the equation.
32 + -32 + 13k = 19 + -32

Combine like terms: 32 + -32 = 0
0 + 13k = 19 + -32
13k = 19 + -32

Combine like terms: 19 + -32 = -13
13k = -13

Divide each side by '13'.
k = -1

Simplifying
k = -1

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