3(k-8)=-2(k+3)+7

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Solution for 3(k-8)=-2(k+3)+7 equation: 


Simplifying
3(k + -8) = -2(k + 3) + 7

Reorder the terms:
3(-8 + k) = -2(k + 3) + 7
(-8 * 3 + k * 3) = -2(k + 3) + 7
(-24 + 3k) = -2(k + 3) + 7

Reorder the terms:
-24 + 3k = -2(3 + k) + 7
-24 + 3k = (3 * -2 + k * -2) + 7
-24 + 3k = (-6 + -2k) + 7

Reorder the terms:
-24 + 3k = -6 + 7 + -2k

Combine like terms: -6 + 7 = 1
-24 + 3k = 1 + -2k

Solving
-24 + 3k = 1 + -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.
-24 + 3k + 2k = 1 + -2k + 2k

Combine like terms: 3k + 2k = 5k
-24 + 5k = 1 + -2k + 2k

Combine like terms: -2k + 2k = 0
-24 + 5k = 1 + 0
-24 + 5k = 1

Add '24' to each side of the equation.
-24 + 24 + 5k = 1 + 24

Combine like terms: -24 + 24 = 0
0 + 5k = 1 + 24
5k = 1 + 24

Combine like terms: 1 + 24 = 25
5k = 25

Divide each side by '5'.
k = 5

Simplifying
k = 5

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