7(k+3)=3k-5

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Solution for 7(k+3)=3k-5 equation:


Simplifying
7(k + 3) = 3k + -5

Reorder the terms:
7(3 + k) = 3k + -5
(3 * 7 + k * 7) = 3k + -5
(21 + 7k) = 3k + -5

Reorder the terms:
21 + 7k = -5 + 3k

Solving
21 + 7k = -5 + 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.
21 + 7k + -3k = -5 + 3k + -3k

Combine like terms: 7k + -3k = 4k
21 + 4k = -5 + 3k + -3k

Combine like terms: 3k + -3k = 0
21 + 4k = -5 + 0
21 + 4k = -5

Add '-21' to each side of the equation.
21 + -21 + 4k = -5 + -21

Combine like terms: 21 + -21 = 0
0 + 4k = -5 + -21
4k = -5 + -21

Combine like terms: -5 + -21 = -26
4k = -26

Divide each side by '4'.
k = -6.5

Simplifying
k = -6.5

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