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

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


Simplifying
2(4k + 9) + -3(k + -3) = 0

Reorder the terms:
2(9 + 4k) + -3(k + -3) = 0
(9 * 2 + 4k * 2) + -3(k + -3) = 0
(18 + 8k) + -3(k + -3) = 0

Reorder the terms:
18 + 8k + -3(-3 + k) = 0
18 + 8k + (-3 * -3 + k * -3) = 0
18 + 8k + (9 + -3k) = 0

Reorder the terms:
18 + 9 + 8k + -3k = 0

Combine like terms: 18 + 9 = 27
27 + 8k + -3k = 0

Combine like terms: 8k + -3k = 5k
27 + 5k = 0

Solving
27 + 5k = 0

Solving for variable 'k'.

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

Add '-27' to each side of the equation.
27 + -27 + 5k = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 5k = 0 + -27
5k = 0 + -27

Combine like terms: 0 + -27 = -27
5k = -27

Divide each side by '5'.
k = -5.4

Simplifying
k = -5.4

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