k-4+7k=4(k+1)

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Solution for k-4+7k=4(k+1) equation:


Simplifying
k + -4 + 7k = 4(k + 1)

Reorder the terms:
-4 + k + 7k = 4(k + 1)

Combine like terms: k + 7k = 8k
-4 + 8k = 4(k + 1)

Reorder the terms:
-4 + 8k = 4(1 + k)
-4 + 8k = (1 * 4 + k * 4)
-4 + 8k = (4 + 4k)

Solving
-4 + 8k = 4 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
-4 + 8k + -4k = 4 + 4k + -4k

Combine like terms: 8k + -4k = 4k
-4 + 4k = 4 + 4k + -4k

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

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

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

Combine like terms: 4 + 4 = 8
4k = 8

Divide each side by '4'.
k = 2

Simplifying
k = 2

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