7k-8+2k+24(k+12)=52

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Solution for 7k-8+2k+24(k+12)=52 equation:


Simplifying
7k + -8 + 2k + 24(k + 12) = 52

Reorder the terms:
7k + -8 + 2k + 24(12 + k) = 52
7k + -8 + 2k + (12 * 24 + k * 24) = 52
7k + -8 + 2k + (288 + 24k) = 52

Reorder the terms:
-8 + 288 + 7k + 2k + 24k = 52

Combine like terms: -8 + 288 = 280
280 + 7k + 2k + 24k = 52

Combine like terms: 7k + 2k = 9k
280 + 9k + 24k = 52

Combine like terms: 9k + 24k = 33k
280 + 33k = 52

Solving
280 + 33k = 52

Solving for variable 'k'.

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

Add '-280' to each side of the equation.
280 + -280 + 33k = 52 + -280

Combine like terms: 280 + -280 = 0
0 + 33k = 52 + -280
33k = 52 + -280

Combine like terms: 52 + -280 = -228
33k = -228

Divide each side by '33'.
k = -6.909090909

Simplifying
k = -6.909090909

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