7(k+1)-(3+4k)=2k

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Solution for 7(k+1)-(3+4k)=2k equation:


Simplifying
7(k + 1) + -1(3 + 4k) = 2k

Reorder the terms:
7(1 + k) + -1(3 + 4k) = 2k
(1 * 7 + k * 7) + -1(3 + 4k) = 2k
(7 + 7k) + -1(3 + 4k) = 2k
7 + 7k + (3 * -1 + 4k * -1) = 2k
7 + 7k + (-3 + -4k) = 2k

Reorder the terms:
7 + -3 + 7k + -4k = 2k

Combine like terms: 7 + -3 = 4
4 + 7k + -4k = 2k

Combine like terms: 7k + -4k = 3k
4 + 3k = 2k

Solving
4 + 3k = 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
4 + 3k + -2k = 2k + -2k

Combine like terms: 3k + -2k = 1k
4 + 1k = 2k + -2k

Combine like terms: 2k + -2k = 0
4 + 1k = 0

Add '-4' to each side of the equation.
4 + -4 + 1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1k = 0 + -4
1k = 0 + -4

Combine like terms: 0 + -4 = -4
1k = -4

Divide each side by '1'.
k = -4

Simplifying
k = -4

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