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

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Solution for -3(k+7)=-7(k-1)+8 equation:


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

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

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

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

Combine like terms: 7 + 8 = 15
-21 + -3k = 15 + -7k

Solving
-21 + -3k = 15 + -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
-21 + -3k + 7k = 15 + -7k + 7k

Combine like terms: -3k + 7k = 4k
-21 + 4k = 15 + -7k + 7k

Combine like terms: -7k + 7k = 0
-21 + 4k = 15 + 0
-21 + 4k = 15

Add '21' to each side of the equation.
-21 + 21 + 4k = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 4k = 15 + 21
4k = 15 + 21

Combine like terms: 15 + 21 = 36
4k = 36

Divide each side by '4'.
k = 9

Simplifying
k = 9

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