9(11-k)=3(3k-6)

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Solution for 9(11-k)=3(3k-6) equation:


Simplifying
9(11 + -1k) = 3(3k + -6)
(11 * 9 + -1k * 9) = 3(3k + -6)
(99 + -9k) = 3(3k + -6)

Reorder the terms:
99 + -9k = 3(-6 + 3k)
99 + -9k = (-6 * 3 + 3k * 3)
99 + -9k = (-18 + 9k)

Solving
99 + -9k = -18 + 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.
99 + -9k + -9k = -18 + 9k + -9k

Combine like terms: -9k + -9k = -18k
99 + -18k = -18 + 9k + -9k

Combine like terms: 9k + -9k = 0
99 + -18k = -18 + 0
99 + -18k = -18

Add '-99' to each side of the equation.
99 + -99 + -18k = -18 + -99

Combine like terms: 99 + -99 = 0
0 + -18k = -18 + -99
-18k = -18 + -99

Combine like terms: -18 + -99 = -117
-18k = -117

Divide each side by '-18'.
k = 6.5

Simplifying
k = 6.5

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