-4(k+6)=10k-(6k-8)

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Solution for -4(k+6)=10k-(6k-8) equation:


Simplifying
-4(k + 6) = 10k + -1(6k + -8)

Reorder the terms:
-4(6 + k) = 10k + -1(6k + -8)
(6 * -4 + k * -4) = 10k + -1(6k + -8)
(-24 + -4k) = 10k + -1(6k + -8)

Reorder the terms:
-24 + -4k = 10k + -1(-8 + 6k)
-24 + -4k = 10k + (-8 * -1 + 6k * -1)
-24 + -4k = 10k + (8 + -6k)

Reorder the terms:
-24 + -4k = 8 + 10k + -6k

Combine like terms: 10k + -6k = 4k
-24 + -4k = 8 + 4k

Solving
-24 + -4k = 8 + 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.
-24 + -4k + -4k = 8 + 4k + -4k

Combine like terms: -4k + -4k = -8k
-24 + -8k = 8 + 4k + -4k

Combine like terms: 4k + -4k = 0
-24 + -8k = 8 + 0
-24 + -8k = 8

Add '24' to each side of the equation.
-24 + 24 + -8k = 8 + 24

Combine like terms: -24 + 24 = 0
0 + -8k = 8 + 24
-8k = 8 + 24

Combine like terms: 8 + 24 = 32
-8k = 32

Divide each side by '-8'.
k = -4

Simplifying
k = -4

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