-6(1-6k)+9(1-11k)=1+4k+k+2

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Solution for -6(1-6k)+9(1-11k)=1+4k+k+2 equation:


Simplifying
-6(1 + -6k) + 9(1 + -11k) = 1 + 4k + k + 2
(1 * -6 + -6k * -6) + 9(1 + -11k) = 1 + 4k + k + 2
(-6 + 36k) + 9(1 + -11k) = 1 + 4k + k + 2
-6 + 36k + (1 * 9 + -11k * 9) = 1 + 4k + k + 2
-6 + 36k + (9 + -99k) = 1 + 4k + k + 2

Reorder the terms:
-6 + 9 + 36k + -99k = 1 + 4k + k + 2

Combine like terms: -6 + 9 = 3
3 + 36k + -99k = 1 + 4k + k + 2

Combine like terms: 36k + -99k = -63k
3 + -63k = 1 + 4k + k + 2

Reorder the terms:
3 + -63k = 1 + 2 + 4k + k

Combine like terms: 1 + 2 = 3
3 + -63k = 3 + 4k + k

Combine like terms: 4k + k = 5k
3 + -63k = 3 + 5k

Add '-3' to each side of the equation.
3 + -3 + -63k = 3 + -3 + 5k

Combine like terms: 3 + -3 = 0
0 + -63k = 3 + -3 + 5k
-63k = 3 + -3 + 5k

Combine like terms: 3 + -3 = 0
-63k = 0 + 5k
-63k = 5k

Solving
-63k = 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-63k + -5k = 5k + -5k

Combine like terms: -63k + -5k = -68k
-68k = 5k + -5k

Combine like terms: 5k + -5k = 0
-68k = 0

Divide each side by '-68'.
k = 0

Simplifying
k = 0

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