2(4+3k)+3=2k-9

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Solution for 2(4+3k)+3=2k-9 equation: 


Simplifying
2(4 + 3k) + 3 = 2k + -9
(4 * 2 + 3k * 2) + 3 = 2k + -9
(8 + 6k) + 3 = 2k + -9

Reorder the terms:
8 + 3 + 6k = 2k + -9

Combine like terms: 8 + 3 = 11
11 + 6k = 2k + -9

Reorder the terms:
11 + 6k = -9 + 2k

Solving
11 + 6k = -9 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
11 + 6k + -2k = -9 + 2k + -2k

Combine like terms: 6k + -2k = 4k
11 + 4k = -9 + 2k + -2k

Combine like terms: 2k + -2k = 0
11 + 4k = -9 + 0
11 + 4k = -9

Add '-11' to each side of the equation.
11 + -11 + 4k = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 4k = -9 + -11
4k = -9 + -11

Combine like terms: -9 + -11 = -20
4k = -20

Divide each side by '4'.
k = -5

Simplifying
k = -5

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