3(k+5)=4(k-6)

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Solution for 3(k+5)=4(k-6) equation: 


Simplifying
3(k + 5) = 4(k + -6)

Reorder the terms:
3(5 + k) = 4(k + -6)
(5 * 3 + k * 3) = 4(k + -6)
(15 + 3k) = 4(k + -6)

Reorder the terms:
15 + 3k = 4(-6 + k)
15 + 3k = (-6 * 4 + k * 4)
15 + 3k = (-24 + 4k)

Solving
15 + 3k = -24 + 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.
15 + 3k + -4k = -24 + 4k + -4k

Combine like terms: 3k + -4k = -1k
15 + -1k = -24 + 4k + -4k

Combine like terms: 4k + -4k = 0
15 + -1k = -24 + 0
15 + -1k = -24

Add '-15' to each side of the equation.
15 + -15 + -1k = -24 + -15

Combine like terms: 15 + -15 = 0
0 + -1k = -24 + -15
-1k = -24 + -15

Combine like terms: -24 + -15 = -39
-1k = -39

Divide each side by '-1'.
k = 39

Simplifying
k = 39

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