6+3(k+4)=5k+(k-9)

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Solution for 6+3(k+4)=5k+(k-9) equation: 


Simplifying
6 + 3(k + 4) = 5k + (k + -9)

Reorder the terms:
6 + 3(4 + k) = 5k + (k + -9)
6 + (4 * 3 + k * 3) = 5k + (k + -9)
6 + (12 + 3k) = 5k + (k + -9)

Combine like terms: 6 + 12 = 18
18 + 3k = 5k + (k + -9)

Reorder the terms:
18 + 3k = 5k + (-9 + k)

Remove parenthesis around (-9 + k)
18 + 3k = 5k + -9 + k

Reorder the terms:
18 + 3k = -9 + 5k + k

Combine like terms: 5k + k = 6k
18 + 3k = -9 + 6k

Solving
18 + 3k = -9 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
18 + 3k + -6k = -9 + 6k + -6k

Combine like terms: 3k + -6k = -3k
18 + -3k = -9 + 6k + -6k

Combine like terms: 6k + -6k = 0
18 + -3k = -9 + 0
18 + -3k = -9

Add '-18' to each side of the equation.
18 + -18 + -3k = -9 + -18

Combine like terms: 18 + -18 = 0
0 + -3k = -9 + -18
-3k = -9 + -18

Combine like terms: -9 + -18 = -27
-3k = -27

Divide each side by '-3'.
k = 9

Simplifying
k = 9

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