8(5-k)+4=-4(k-4)-11

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Solution for 8(5-k)+4=-4(k-4)-11 equation: 


Simplifying
8(5 + -1k) + 4 = -4(k + -4) + -11
(5 * 8 + -1k * 8) + 4 = -4(k + -4) + -11
(40 + -8k) + 4 = -4(k + -4) + -11

Reorder the terms:
40 + 4 + -8k = -4(k + -4) + -11

Combine like terms: 40 + 4 = 44
44 + -8k = -4(k + -4) + -11

Reorder the terms:
44 + -8k = -4(-4 + k) + -11
44 + -8k = (-4 * -4 + k * -4) + -11
44 + -8k = (16 + -4k) + -11

Reorder the terms:
44 + -8k = 16 + -11 + -4k

Combine like terms: 16 + -11 = 5
44 + -8k = 5 + -4k

Solving
44 + -8k = 5 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
44 + -8k + 4k = 5 + -4k + 4k

Combine like terms: -8k + 4k = -4k
44 + -4k = 5 + -4k + 4k

Combine like terms: -4k + 4k = 0
44 + -4k = 5 + 0
44 + -4k = 5

Add '-44' to each side of the equation.
44 + -44 + -4k = 5 + -44

Combine like terms: 44 + -44 = 0
0 + -4k = 5 + -44
-4k = 5 + -44

Combine like terms: 5 + -44 = -39
-4k = -39

Divide each side by '-4'.
k = 9.75

Simplifying
k = 9.75

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