4(k-6)+10=6(k+2)

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Solution for 4(k-6)+10=6(k+2) equation: 


Simplifying
4(k + -6) + 10 = 6(k + 2)

Reorder the terms:
4(-6 + k) + 10 = 6(k + 2)
(-6 * 4 + k * 4) + 10 = 6(k + 2)
(-24 + 4k) + 10 = 6(k + 2)

Reorder the terms:
-24 + 10 + 4k = 6(k + 2)

Combine like terms: -24 + 10 = -14
-14 + 4k = 6(k + 2)

Reorder the terms:
-14 + 4k = 6(2 + k)
-14 + 4k = (2 * 6 + k * 6)
-14 + 4k = (12 + 6k)

Solving
-14 + 4k = 12 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-14 + 4k + -6k = 12 + 6k + -6k

Combine like terms: 4k + -6k = -2k
-14 + -2k = 12 + 6k + -6k

Combine like terms: 6k + -6k = 0
-14 + -2k = 12 + 0
-14 + -2k = 12

Add '14' to each side of the equation.
-14 + 14 + -2k = 12 + 14

Combine like terms: -14 + 14 = 0
0 + -2k = 12 + 14
-2k = 12 + 14

Combine like terms: 12 + 14 = 26
-2k = 26

Divide each side by '-2'.
k = -13

Simplifying
k = -13

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