-24=-(-6+3k)+8(2k+6)

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Solution for -24=-(-6+3k)+8(2k+6) equation:


Simplifying
-24 = -1(-6 + 3k) + 8(2k + 6)
-24 = (-6 * -1 + 3k * -1) + 8(2k + 6)
-24 = (6 + -3k) + 8(2k + 6)

Reorder the terms:
-24 = 6 + -3k + 8(6 + 2k)
-24 = 6 + -3k + (6 * 8 + 2k * 8)
-24 = 6 + -3k + (48 + 16k)

Reorder the terms:
-24 = 6 + 48 + -3k + 16k

Combine like terms: 6 + 48 = 54
-24 = 54 + -3k + 16k

Combine like terms: -3k + 16k = 13k
-24 = 54 + 13k

Solving
-24 = 54 + 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
-24 + -13k = 54 + 13k + -13k

Combine like terms: 13k + -13k = 0
-24 + -13k = 54 + 0
-24 + -13k = 54

Add '24' to each side of the equation.
-24 + 24 + -13k = 54 + 24

Combine like terms: -24 + 24 = 0
0 + -13k = 54 + 24
-13k = 54 + 24

Combine like terms: 54 + 24 = 78
-13k = 78

Divide each side by '-13'.
k = -6

Simplifying
k = -6

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