10(3k+1)=(9k+11)

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Solution for 10(3k+1)=(9k+11) equation:


Simplifying
10(3k + 1) = (9k + 11)

Reorder the terms:
10(1 + 3k) = (9k + 11)
(1 * 10 + 3k * 10) = (9k + 11)
(10 + 30k) = (9k + 11)

Reorder the terms:
10 + 30k = (11 + 9k)

Remove parenthesis around (11 + 9k)
10 + 30k = 11 + 9k

Solving
10 + 30k = 11 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
10 + 30k + -9k = 11 + 9k + -9k

Combine like terms: 30k + -9k = 21k
10 + 21k = 11 + 9k + -9k

Combine like terms: 9k + -9k = 0
10 + 21k = 11 + 0
10 + 21k = 11

Add '-10' to each side of the equation.
10 + -10 + 21k = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 21k = 11 + -10
21k = 11 + -10

Combine like terms: 11 + -10 = 1
21k = 1

Divide each side by '21'.
k = 0.04761904762

Simplifying
k = 0.04761904762

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