k-27+7k=3(k+1)

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Solution for k-27+7k=3(k+1) equation:


Simplifying
k + -27 + 7k = 3(k + 1)

Reorder the terms:
-27 + k + 7k = 3(k + 1)

Combine like terms: k + 7k = 8k
-27 + 8k = 3(k + 1)

Reorder the terms:
-27 + 8k = 3(1 + k)
-27 + 8k = (1 * 3 + k * 3)
-27 + 8k = (3 + 3k)

Solving
-27 + 8k = 3 + 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.
-27 + 8k + -3k = 3 + 3k + -3k

Combine like terms: 8k + -3k = 5k
-27 + 5k = 3 + 3k + -3k

Combine like terms: 3k + -3k = 0
-27 + 5k = 3 + 0
-27 + 5k = 3

Add '27' to each side of the equation.
-27 + 27 + 5k = 3 + 27

Combine like terms: -27 + 27 = 0
0 + 5k = 3 + 27
5k = 3 + 27

Combine like terms: 3 + 27 = 30
5k = 30

Divide each side by '5'.
k = 6

Simplifying
k = 6

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