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

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


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

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

Combine like terms: 7k + 4k = 11k
7 + 11k = 4k

Solving
7 + 11k = 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.
7 + 11k + -4k = 4k + -4k

Combine like terms: 11k + -4k = 7k
7 + 7k = 4k + -4k

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

Add '-7' to each side of the equation.
7 + -7 + 7k = 0 + -7

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

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

Divide each side by '7'.
k = -1

Simplifying
k = -1

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