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

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Solution for -7k+7(5k+1)=-24-3k equation:


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

Reorder the terms:
-7k + 7(1 + 5k) = -24 + -3k
-7k + (1 * 7 + 5k * 7) = -24 + -3k
-7k + (7 + 35k) = -24 + -3k

Reorder the terms:
7 + -7k + 35k = -24 + -3k

Combine like terms: -7k + 35k = 28k
7 + 28k = -24 + -3k

Solving
7 + 28k = -24 + -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.
7 + 28k + 3k = -24 + -3k + 3k

Combine like terms: 28k + 3k = 31k
7 + 31k = -24 + -3k + 3k

Combine like terms: -3k + 3k = 0
7 + 31k = -24 + 0
7 + 31k = -24

Add '-7' to each side of the equation.
7 + -7 + 31k = -24 + -7

Combine like terms: 7 + -7 = 0
0 + 31k = -24 + -7
31k = -24 + -7

Combine like terms: -24 + -7 = -31
31k = -31

Divide each side by '31'.
k = -1

Simplifying
k = -1

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