-5(k-6)-(9+9k)=-15k

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Solution for -5(k-6)-(9+9k)=-15k equation:


Simplifying
-5(k + -6) + -1(9 + 9k) = -15k

Reorder the terms:
-5(-6 + k) + -1(9 + 9k) = -15k
(-6 * -5 + k * -5) + -1(9 + 9k) = -15k
(30 + -5k) + -1(9 + 9k) = -15k
30 + -5k + (9 * -1 + 9k * -1) = -15k
30 + -5k + (-9 + -9k) = -15k

Reorder the terms:
30 + -9 + -5k + -9k = -15k

Combine like terms: 30 + -9 = 21
21 + -5k + -9k = -15k

Combine like terms: -5k + -9k = -14k
21 + -14k = -15k

Solving
21 + -14k = -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.
21 + -14k + 15k = -15k + 15k

Combine like terms: -14k + 15k = 1k
21 + 1k = -15k + 15k

Combine like terms: -15k + 15k = 0
21 + 1k = 0

Add '-21' to each side of the equation.
21 + -21 + 1k = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 1k = 0 + -21
1k = 0 + -21

Combine like terms: 0 + -21 = -21
1k = -21

Divide each side by '1'.
k = -21

Simplifying
k = -21

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