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

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


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

Reorder the terms:
3(5 + 3k) = 2(5k + 5)
(5 * 3 + 3k * 3) = 2(5k + 5)
(15 + 9k) = 2(5k + 5)

Reorder the terms:
15 + 9k = 2(5 + 5k)
15 + 9k = (5 * 2 + 5k * 2)
15 + 9k = (10 + 10k)

Solving
15 + 9k = 10 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
15 + 9k + -10k = 10 + 10k + -10k

Combine like terms: 9k + -10k = -1k
15 + -1k = 10 + 10k + -10k

Combine like terms: 10k + -10k = 0
15 + -1k = 10 + 0
15 + -1k = 10

Add '-15' to each side of the equation.
15 + -15 + -1k = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -1k = 10 + -15
-1k = 10 + -15

Combine like terms: 10 + -15 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5

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