9(k-2)=11(k-4)

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Solution for 9(k-2)=11(k-4) equation:


Simplifying
9(k + -2) = 11(k + -4)

Reorder the terms:
9(-2 + k) = 11(k + -4)
(-2 * 9 + k * 9) = 11(k + -4)
(-18 + 9k) = 11(k + -4)

Reorder the terms:
-18 + 9k = 11(-4 + k)
-18 + 9k = (-4 * 11 + k * 11)
-18 + 9k = (-44 + 11k)

Solving
-18 + 9k = -44 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
-18 + 9k + -11k = -44 + 11k + -11k

Combine like terms: 9k + -11k = -2k
-18 + -2k = -44 + 11k + -11k

Combine like terms: 11k + -11k = 0
-18 + -2k = -44 + 0
-18 + -2k = -44

Add '18' to each side of the equation.
-18 + 18 + -2k = -44 + 18

Combine like terms: -18 + 18 = 0
0 + -2k = -44 + 18
-2k = -44 + 18

Combine like terms: -44 + 18 = -26
-2k = -26

Divide each side by '-2'.
k = 13

Simplifying
k = 13

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