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

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


Simplifying
2k + 3 = 2 + -3(k + 3)

Reorder the terms:
3 + 2k = 2 + -3(k + 3)

Reorder the terms:
3 + 2k = 2 + -3(3 + k)
3 + 2k = 2 + (3 * -3 + k * -3)
3 + 2k = 2 + (-9 + -3k)

Combine like terms: 2 + -9 = -7
3 + 2k = -7 + -3k

Solving
3 + 2k = -7 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
3 + 2k + 3k = -7 + -3k + 3k

Combine like terms: 2k + 3k = 5k
3 + 5k = -7 + -3k + 3k

Combine like terms: -3k + 3k = 0
3 + 5k = -7 + 0
3 + 5k = -7

Add '-3' to each side of the equation.
3 + -3 + 5k = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 5k = -7 + -3
5k = -7 + -3

Combine like terms: -7 + -3 = -10
5k = -10

Divide each side by '5'.
k = -2

Simplifying
k = -2

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