3(2k+7)=5(5+k)

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Solution for 3(2k+7)=5(5+k) equation:


Simplifying
3(2k + 7) = 5(5 + k)

Reorder the terms:
3(7 + 2k) = 5(5 + k)
(7 * 3 + 2k * 3) = 5(5 + k)
(21 + 6k) = 5(5 + k)
21 + 6k = (5 * 5 + k * 5)
21 + 6k = (25 + 5k)

Solving
21 + 6k = 25 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
21 + 6k + -5k = 25 + 5k + -5k

Combine like terms: 6k + -5k = 1k
21 + 1k = 25 + 5k + -5k

Combine like terms: 5k + -5k = 0
21 + 1k = 25 + 0
21 + 1k = 25

Add '-21' to each side of the equation.
21 + -21 + 1k = 25 + -21

Combine like terms: 21 + -21 = 0
0 + 1k = 25 + -21
1k = 25 + -21

Combine like terms: 25 + -21 = 4
1k = 4

Divide each side by '1'.
k = 4

Simplifying
k = 4

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