-12k-11(-k+11)=-(1+9k)

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Solution for -12k-11(-k+11)=-(1+9k) equation:


Simplifying
-12k + -11(-1k + 11) = -1(1 + 9k)

Reorder the terms:
-12k + -11(11 + -1k) = -1(1 + 9k)
-12k + (11 * -11 + -1k * -11) = -1(1 + 9k)
-12k + (-121 + 11k) = -1(1 + 9k)

Reorder the terms:
-121 + -12k + 11k = -1(1 + 9k)

Combine like terms: -12k + 11k = -1k
-121 + -1k = -1(1 + 9k)
-121 + -1k = (1 * -1 + 9k * -1)
-121 + -1k = (-1 + -9k)

Solving
-121 + -1k = -1 + -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.
-121 + -1k + 9k = -1 + -9k + 9k

Combine like terms: -1k + 9k = 8k
-121 + 8k = -1 + -9k + 9k

Combine like terms: -9k + 9k = 0
-121 + 8k = -1 + 0
-121 + 8k = -1

Add '121' to each side of the equation.
-121 + 121 + 8k = -1 + 121

Combine like terms: -121 + 121 = 0
0 + 8k = -1 + 121
8k = -1 + 121

Combine like terms: -1 + 121 = 120
8k = 120

Divide each side by '8'.
k = 15

Simplifying
k = 15

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