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

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


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

Combine like terms: 11k + -1k = 10k
9(10k) = 3(3k + -9)

Remove parenthesis around (10k)
9 * 10k = 3(3k + -9)

Multiply 9 * 10
90k = 3(3k + -9)

Reorder the terms:
90k = 3(-9 + 3k)
90k = (-9 * 3 + 3k * 3)
90k = (-27 + 9k)

Solving
90k = -27 + 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.
90k + -9k = -27 + 9k + -9k

Combine like terms: 90k + -9k = 81k
81k = -27 + 9k + -9k

Combine like terms: 9k + -9k = 0
81k = -27 + 0
81k = -27

Divide each side by '81'.
k = -0.3333333333

Simplifying
k = -0.3333333333

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