6(k+5)-(3+7k)=24

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Solution for 6(k+5)-(3+7k)=24 equation:


Simplifying
6(k + 5) + -1(3 + 7k) = 24

Reorder the terms:
6(5 + k) + -1(3 + 7k) = 24
(5 * 6 + k * 6) + -1(3 + 7k) = 24
(30 + 6k) + -1(3 + 7k) = 24
30 + 6k + (3 * -1 + 7k * -1) = 24
30 + 6k + (-3 + -7k) = 24

Reorder the terms:
30 + -3 + 6k + -7k = 24

Combine like terms: 30 + -3 = 27
27 + 6k + -7k = 24

Combine like terms: 6k + -7k = -1k
27 + -1k = 24

Solving
27 + -1k = 24

Solving for variable 'k'.

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

Add '-27' to each side of the equation.
27 + -27 + -1k = 24 + -27

Combine like terms: 27 + -27 = 0
0 + -1k = 24 + -27
-1k = 24 + -27

Combine like terms: 24 + -27 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3

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