-9(k-1)=6-5(3k+3)

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Solution for -9(k-1)=6-5(3k+3) equation:


Simplifying
-9(k + -1) = 6 + -5(3k + 3)

Reorder the terms:
-9(-1 + k) = 6 + -5(3k + 3)
(-1 * -9 + k * -9) = 6 + -5(3k + 3)
(9 + -9k) = 6 + -5(3k + 3)

Reorder the terms:
9 + -9k = 6 + -5(3 + 3k)
9 + -9k = 6 + (3 * -5 + 3k * -5)
9 + -9k = 6 + (-15 + -15k)

Combine like terms: 6 + -15 = -9
9 + -9k = -9 + -15k

Solving
9 + -9k = -9 + -15k

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
9 + -9k + 15k = -9 + -15k + 15k

Combine like terms: -9k + 15k = 6k
9 + 6k = -9 + -15k + 15k

Combine like terms: -15k + 15k = 0
9 + 6k = -9 + 0
9 + 6k = -9

Add '-9' to each side of the equation.
9 + -9 + 6k = -9 + -9

Combine like terms: 9 + -9 = 0
0 + 6k = -9 + -9
6k = -9 + -9

Combine like terms: -9 + -9 = -18
6k = -18

Divide each side by '6'.
k = -3

Simplifying
k = -3

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