5k+4(0.5k-6)=k+(12-2k)*2+12

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Solution for 5k+4(0.5k-6)=k+(12-2k)*2+12 equation:


Simplifying
5k + 4(0.5k + -6) = k + (12 + -2k) * 2 + 12

Reorder the terms:
5k + 4(-6 + 0.5k) = k + (12 + -2k) * 2 + 12
5k + (-6 * 4 + 0.5k * 4) = k + (12 + -2k) * 2 + 12
5k + (-24 + 2k) = k + (12 + -2k) * 2 + 12

Reorder the terms:
-24 + 5k + 2k = k + (12 + -2k) * 2 + 12

Combine like terms: 5k + 2k = 7k
-24 + 7k = k + (12 + -2k) * 2 + 12

Reorder the terms for easier multiplication:
-24 + 7k = k + 2(12 + -2k) + 12
-24 + 7k = k + (12 * 2 + -2k * 2) + 12
-24 + 7k = k + (24 + -4k) + 12

Reorder the terms:
-24 + 7k = 24 + 12 + k + -4k

Combine like terms: 24 + 12 = 36
-24 + 7k = 36 + k + -4k

Combine like terms: k + -4k = -3k
-24 + 7k = 36 + -3k

Solving
-24 + 7k = 36 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-24 + 7k + 3k = 36 + -3k + 3k

Combine like terms: 7k + 3k = 10k
-24 + 10k = 36 + -3k + 3k

Combine like terms: -3k + 3k = 0
-24 + 10k = 36 + 0
-24 + 10k = 36

Add '24' to each side of the equation.
-24 + 24 + 10k = 36 + 24

Combine like terms: -24 + 24 = 0
0 + 10k = 36 + 24
10k = 36 + 24

Combine like terms: 36 + 24 = 60
10k = 60

Divide each side by '10'.
k = 6

Simplifying
k = 6

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