7(k-3)-(6k+3)=-8

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Solution for 7(k-3)-(6k+3)=-8 equation: 


Simplifying
7(k + -3) + -1(6k + 3) = -8

Reorder the terms:
7(-3 + k) + -1(6k + 3) = -8
(-3 * 7 + k * 7) + -1(6k + 3) = -8
(-21 + 7k) + -1(6k + 3) = -8

Reorder the terms:
-21 + 7k + -1(3 + 6k) = -8
-21 + 7k + (3 * -1 + 6k * -1) = -8
-21 + 7k + (-3 + -6k) = -8

Reorder the terms:
-21 + -3 + 7k + -6k = -8

Combine like terms: -21 + -3 = -24
-24 + 7k + -6k = -8

Combine like terms: 7k + -6k = 1k
-24 + 1k = -8

Solving
-24 + 1k = -8

Solving for variable 'k'.

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

Add '24' to each side of the equation.
-24 + 24 + 1k = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 1k = -8 + 24
1k = -8 + 24

Combine like terms: -8 + 24 = 16
1k = 16

Divide each side by '1'.
k = 16

Simplifying
k = 16

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